Videos

Video thumbnail for How to Prove that a Matrix is Invertible
03:09
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How to Prove that a Matrix is Invertible

In this video I will teach you how you can show that a given matrix is invertible. In this video I will do a worked example of a 3x3 matrix and explain the procedure for showing that a 2x2 matrix is invertible as well. Fundamentally the test for invertibility is the determinant. This method can also be used to show that a matrix is singular (i ...
YouTube
· Apr 1, 2020
Video thumbnail for Invertible matrix
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Invertible matrix

Checking if a matrix is invertible using row-reduction, without finding A-1 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw Check out my Matrix Algebra playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmAIZGo2l8SWvsHeeCLzamx0
YouTube
· Feb 5, 2019
Video thumbnail for Determine if a Matrix is Invertible Using Determinants | Step-By-Step Example
03:35
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Determine if a Matrix is Invertible Using Determinants | Step-By-Step Example

Learn how to determine if a matrix is invertible using determinants. This video explains the step-by-step process for calculating the determinant of a matrix and using the result to assess invertibility. Gain confidence in applying this essential linear algebra concept with a detailed example! What You’ll Learn: • How to compute the ...
YouTube
· Feb 8, 2025
Video thumbnail for Invertible and noninvertibles matrices
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Invertible and noninvertibles matrices

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/algebra-home/alg-matrices/alg-intro-to-matrix-inverses/e/determine-inverse-matrices Recognizing when a matrix is invertible or not.
YouTube
· Aug 13, 2018
Video thumbnail for Invertible matrices and transformations | Matrices | Precalculus | Khan Academy
06:08
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Invertible matrices and transformations | Matrices | Precalculus | Khan Academy

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:intro-to-matrix-inverses/v/inverse-matrices-and-matrix-equations An invertible matrix is a matrix that has an inverse. In this video, we compare the effect of two transformations ...
YouTube
· Apr 7, 2021
Video thumbnail for Linear Algebra - Lecture 25 - The Invertible Matrix Theorem
12:02
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Linear Algebra - Lecture 25 - The Invertible Matrix Theorem

In this lecture, we discuss The Invertible Matrix Theorem, which is a list of 12 equivalent statements that classify when a square matrix is invertible.
YouTube
· Jun 9, 2018
Video thumbnail for Linear Algebra 2.3.1 Characterizations of Invertible Matrices
06:46
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Linear Algebra 2.3.1 Characterizations of Invertible Matrices

YouTube
· Sep 21, 2019
Video thumbnail for Linear Algebra - Lecture 24 - Elementary Matrices and Inverses
15:59
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Linear Algebra - Lecture 24 - Elementary Matrices and Inverses

In this video, we will discuss elementary matrices and their relationship to invertible matrices. We will prove a theorem that explains how to tell when a matrix is invertible, and how to find the inverse of an invertible matrix.
YouTube
· Jan 1, 2009
Video thumbnail for Invertible matrices and determinants | Matrices | Precalculus | Khan Academy
04:42
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Invertible matrices and determinants | Matrices | Precalculus | Khan Academy

An invertible matrix is a matrix that has an inverse. In this video, we investigate the relationship between a matrix's determinant, and whether that matrix is invertible.
YouTube
· Apr 7, 2021
Video thumbnail for Inverse of a 3x3 Matrix
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Inverse of a 3x3 Matrix

This precalculus video tutorial explains how to find the inverse of a 3x3 matrix. You need to write an augmented matrix containing the original matrix and the multiplicative identity matrix. You need to convert the original matrix into the multiplicative identity matrix using elementary row operations. The multiplicative identity matrix will ...
YouTube
· Feb 19, 2018
Video thumbnail for Inverse matrix introduction | Matrices | Precalculus | Khan Academy
06:50
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Inverse matrix introduction | Matrices | Precalculus | Khan Academy

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:intro-to-matrix-inverses/v/invertible-matrices-and-determinants The inverse of a square matrix is another matrix (of the same dimensions), where the multiplication (or composition ...
YouTube
· Mar 21, 2021
Video thumbnail for Determine Whether the Matrices are Inverses (Example)
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Determine Whether the Matrices are Inverses (Example)

This video works through an example of determining whether the two given 2x2 square matrices are inverses of one another. If their product matrix is the identity matrix, then they are inverses. For more math help and resources, visit https://www.hsmathsolutions.com.
YouTube
· Mar 13, 2021
Video thumbnail for Inverse matrices and matrix equations | Matrices | Precalculus | Khan Academy
07:30
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Inverse matrices and matrix equations | Matrices | Precalculus | Khan Academy

Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:intro-to-matrix-inverses/e/determine-invertibile-2x2-matrices In other videos, we've seen how matrices can represent systems of equations, and we've also seen how matrices whose ...
YouTube
· Mar 21, 2021
Video thumbnail for Class 12th – Overview of Invertible Matrices | Matrices | Tutorials Point
05:49
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Class 12th – Overview of Invertible Matrices | Matrices | Tutorials Point

Overview of Invertible Matrices Watch more videos at https://www.tutorialspoint.com/videotutorials/index.htm Lecture By: Er. Ridhi Arora, Tutorials Point India Private Limited.
YouTube
· Feb 8, 2018
Video thumbnail for Invertible Matrices correspond with Invertible Transformations **proof**
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Invertible Matrices correspond with Invertible Transformations **proof**

Invertible Matrices are an algebraic concept that helps us solve Linear Systems of Equations. Invertible Transformations are a geometric concept where we can "undo" a transformation. But in fact they coincide! In this video, we prove that if you have an invertible matrix, the transformation it defines is also invertible. Likewise, if you have ...
YouTube
· Jun 10, 2018
Video thumbnail for Inverse Matrices and Their Properties
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Inverse Matrices and Their Properties

We learned about matrix multiplication, so what about matrix division? There is no such thing! But we can multiply a matrix by its inverse, which is kind of like multiplying a number by its reciprocal, to cancel it out, which with matrices will yield the identity matrix. So how do you find an inverse matrix? Let's learn how! Watch the whole ...
YouTube
· Jan 14, 2019
Video thumbnail for Matrix Inversion Algorithm
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Matrix Inversion Algorithm

#MatrixAlgebra #LinearAlgebra #UniversityMaths Matrix inversion algorithm is an effective and efficient way of finding the inverse of any invertible matrix. As always, we will prove why the method works and work through an example. This video is part of the series Linear Algebra. Check out the full playlist here: https://www.youtube.com ...
YouTube
· Jul 23, 2020
Video thumbnail for Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
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Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra

How to think about linear systems of equations geometrically. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com/ Full series: http://3b1b.co/eola Future series like this are funded by the community, through Patreon ...
YouTube
· Aug 15, 2016
Video thumbnail for L-5 RANK OF MATRIX BY ECHELON FORM | RANK AND NULLITY THEOREM | EXAMPLES | ENGINEERING MATHEMATICS
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L-5 RANK OF MATRIX BY ECHELON FORM | RANK AND NULLITY THEOREM | EXAMPLES | ENGINEERING MATHEMATICS

ENGINEERING MATHEMATICS-1 (UNIT-1) MATRICES LINEAR ALGEBRA (UNIT-1) MATRICES LECTURE CONTENT: ECHELON FORM OF A MATRIX, TRICK FOR ECHELON FORM IN A MATRIX, HOW TO CONVERT MATRIX IN ECHELON FORM, DEFINTION OF RANK OF MATRIX IN ECHELON FORM, EXAMPLES AND SOLUTIONS OF RANK OF MATRIX BY ECHELON FORM, RANK AND NULLITY THEOREM IN MATRIX, RANK AND ...
YouTube
· Sep 17, 2024
Video thumbnail for Evaluating the Determinant of a Matrix
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Evaluating the Determinant of a Matrix

When it comes to matrices, beyond addition, subtraction, and multiplication, we have to learn how to evaluate something called a determinant. This is a new concept that only applies to square matrices, so let's learn what it means and how to do it! Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials ...
YouTube
· Dec 5, 2018
Video thumbnail for Parity Check Matrix in Linear Block Code with Example in Digital Communication by Engineering Funda
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Parity Check Matrix in Linear Block Code with Example in Digital Communication by Engineering Funda

Parity Check Matrix in Linear Block Code with Example is explained by the following outlines: 0. Linear Block Code 1. Basics of Linear Block Code 2. Parity Check Matrix in Linear Block Code 3. Example of Parity Check Matrix in Linear Block Code Chapter-wise detailed Syllabus of the Digital Communication Course is as follows: Chapter-1 Basics of ...
YouTube
· Oct 16, 2018
Video thumbnail for Solving Matrix Equations
06:31
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Solving Matrix Equations

This precalculus video tutorial provides a basic introduction into solving matrix equations. It contains plenty of examples and practice problems on solving equations with matrices. Matrices - Free Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html Matrices - Video Lessons: https://www.video-tutor.net/matrix.html Final ...
YouTube
· Feb 17, 2018
Video thumbnail for Checking if a Matrix is Positive Definite
02:06
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Checking if a Matrix is Positive Definite

In this small exercise we will use the determinants test to check if two matrices are positive definite. ⏰ Timeline 00:00 Exercise 00:25 First matrix 01:02 Second matrix 📜 All Discrete Mathematics Exercises https://www.youtube.com/playlist?list=PLY9Po-aXYcD6LdOzLeBhcHIShPwCQNeSD 📜 All Linear Algebra Exercises https://www.youtube.com ...
YouTube
· Feb 13, 2020
Video thumbnail for Elementary Matrices
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Elementary Matrices

This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
YouTube
· Jun 3, 2012
Video thumbnail for Matrix inversion method
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Matrix inversion method

Note: Inverse of a matrix = (adj. of a matrix/determinant) Matrix inversion method example 2: https://youtu.be/nsNcSUDSNIw Matrix inversion method in Hindi: https://youtu.be/X32XOPthdRQ OR, You can access to all the Lecture on Numerical Method. Here is the link of the playlist: Numerical method: https://www.youtube.com/playlist?list=PL513Y7 ...
YouTube
· Apr 1, 2020
Video thumbnail for Determining Inverse Matrices on the TI83/84
02:43
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Determining Inverse Matrices on the TI83/84

This video shows how to determine an inverse matrix on the ti83/84. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
YouTube
· Aug 23, 2010
Video thumbnail for Inverse of a 2x2 matrix | Matrices | Precalculus | Khan Academy
02:48
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Inverse of a 2x2 matrix | Matrices | Precalculus | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:matrices/x9e81a4f98389efdf:practice-finding-inverses-of-2x2-matrices/v/inverse-of-a-2x2-matrix Example of calculating the inverse of a 2x2 matrix Practice this lesson yourself on ...
YouTube
· May 27, 2015
Video thumbnail for Matrix inversion method| solution of system of linear equations part-3| BBA maths sem-1
17:01
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Matrix inversion method| solution of system of linear equations part-3| BBA maths sem-1

Hello friends, this is Bharti Sachdeva from dream maths In this video, you will learn about how to FIND a SOLUTION OF SYSTEM OF LINEAR EQUATIONS having two equations BY USING MATRIX INVERSION METHOD. This is one of the most important topics of the BBA business mathematics course. For matrix inversion method , you must have knowledge of inverse ...
YouTube
· Nov 8, 2020
Video thumbnail for ❖ Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 1 ❖
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❖ Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 1 ❖

Inverse Matrix Using Gauss-Jordan / Row Reduction , Example 1. Here I look at a quick example of finding the inverse of a 2 x 2 matrix using Gauss - Jordan / row reduction. IF a matrix has an inverse (not all matrices have inverses!), we can find the inverse by placing our original matrix on the left side along with an identity matrix directly ...
YouTube
· Sep 12, 2012
Video thumbnail for Matrix Multiplication and Associated Properties
06:22
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Matrix Multiplication and Associated Properties

We covered matrix addition, so how do we multiply two matrices together? It's not as straightforward as you might guess, so let's make sure we have this algorithm down! Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly ...
YouTube
· Nov 7, 2018
Video thumbnail for Diagonalize a 3 by 3 Matrix (Full Process)
08:48
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Diagonalize a 3 by 3 Matrix (Full Process)

This video explains the complete process to diagonalize a 3 by 3 matrix.
YouTube
· Dec 23, 2021
Video thumbnail for Matrix inversion method 3×3 | solution of a system of linear equations part-4| BBA maths sem-1
15:51
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Matrix inversion method 3×3 | solution of a system of linear equations part-4| BBA maths sem-1

Matrix inversion method Hello friends, this is Bharti Sachdeva from dream maths In this video, you will learn about how to FIND a SOLUTION OF SYSTEM OF LINEAR EQUATIONS having two equations BY USING MATRIX INVERSION METHOD. This is one of the most important topics of the BBA business mathematics course. For the matrix inversion method, you must ...
YouTube
· Nov 9, 2020
Video thumbnail for How to find inverse of matrix using adjoint method | inverse of matrix class12 | #epselon | #Epselon
14:31
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How to find inverse of matrix using adjoint method | inverse of matrix class12 | #epselon | #Epselon

Hello friends, Welcome to our channel Epselon In this video we are going to find inverse of matrices using adjoint method. In this video we have discussed the inverses of 2 x 2 and 3 x 3 matrices. The video contains two examples, one of 2x2 matrices and 3x3 matrices. Method to find the inverse of matrices * There is a formula for finding the ...
YouTube
· Jul 24, 2021
Video thumbnail for How to find the Inverse of a Matrix
14:59
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How to find the Inverse of a Matrix

The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is A⁻¹, and A.A⁻¹ = I. We can calculate the Inverse of a Matrix by: Step 1: calculating the Matrix of Minors, Step 2: then turn that into the Matrix of Cofactors, Step 3: then the Adjugate ...
YouTube
· Aug 5, 2021
Video thumbnail for Intro to Matrices
11:23
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Intro to Matrices

This precalculus video tutorial provides a basic introduction into matrices. It covers matrix notation and how to determine the order of a matrix and the value of the elements inside a matrix. This video also covers the addition and subtraction of matrices as well as the scalar multiplication of matrices. Matrices - Free Formula Sheet: https ...
YouTube
· Feb 16, 2018
Video thumbnail for Invertible matrices are square
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Invertible matrices are square

Why invertible matrices must be square. Definition of invertible matrix and showing that a 3x2 and a 2x3 matrix cannot be square. Check out my Matrix Algebra playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmAIZGo2l8SWvsHeeCLzamx0 Subscribe to my channel: https://www.youtube.com/channel/UCoOjTxz-u5zU0W38zMkQIFw
YouTube
· Feb 5, 2019
Video thumbnail for Invertible Transformations
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Invertible Transformations

Description: Corresponding to our algebraic notion of invertibility, we want a geometric notion. Invertible transformations are defined, and then proven to be equivalent (thank goodness!) to invertible matrices when linear. Learning Objectives: 1) Define an invertible transformation 2) Demonstrate a transformation is invertible by analyzing it ...
YouTube
· Jun 8, 2017
Video thumbnail for When does a matrix fail to be invertible? Also more "Big Theorem".
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When does a matrix fail to be invertible? Also more "Big Theorem".

Description: We look at various ways that a matrix could fail to be invertible. In so doing, we expand our Big Theorem one extra step showing that unique solutions iff invertibility in the nxn case. Learning Objectives: 1) Analyze dimensions to determine if a matrix isn't invertible 2) In the 2x2 case, decide whether a matrix is invertible 3 ...
YouTube
· Jun 7, 2017
Video thumbnail for Sec 2.3 Invertible Matrix Theorem
13:03
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Sec 2.3 Invertible Matrix Theorem

Characterizing the inverse matrix via the invertible matrix theorem
YouTube
· Oct 7, 2014
Video thumbnail for Determining a 2x2 Inverse Matrix Using a Formula
03:50
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Determining a 2x2 Inverse Matrix Using a Formula

This video explains the formula used to determine the inverse of a 2x2 matrix, if one exists. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
YouTube
· Aug 23, 2010
Video thumbnail for How to Invert Matrices - Exercises (Step by Step)
30:20
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How to Invert Matrices - Exercises (Step by Step)

👉 Inverting 2x2 and 3x3 matrices, step-by-step! :) ⭐️ Related Content: HOW to Calculate Determinants: https://youtu.be/yzVF4vpxrYc Solving linear Equations: https://youtu.be/TU_uhLr-3po Why are temperatures dropping? : https://youtu.be/rVcr_VyvUDQ ℹ️ In this session we look at how we can calculate the inverse of a given 2x2 and 3x3 ...
YouTube
· Apr 2, 2021
Video thumbnail for Inverse of a matrix using Gauss~Jordan Elimination - #2
19:29
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Inverse of a matrix using Gauss~Jordan Elimination - #2

Finding the Inverse of a Matrix Using Gauss-Jordan Elimination In this video, we’ll walk through the step-by-step process of finding the inverse of a matrix using the Gauss-Jordan elimination method. This powerful approach simplifies complex systems of equations, making it an essential tool in linear algebra. Whether you're a student tackling ...
YouTube
· Dec 3, 2024
Video thumbnail for Find Inverse for 3x3 matrix using Adjoint Method
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Find Inverse for 3x3 matrix using Adjoint Method

In this video, we will learn how to find an inverse matrix for 3x3 matrix by using the adjoint method.
YouTube
· Sep 1, 2020
Video thumbnail for Properties of Inverse Matrices
11:53
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Properties of Inverse Matrices

#MatrixAlgebra #LinearAlgebra #UniversityMaths This video is part of the series Linear Algebra. Check out the full playlist here: https://www.youtube.com/playlist?list=PLHHtqHNGteziEVgqWjEdUB5EAA6BBlf4B This part of the series is roughly based on the course Geometry and Linear Algebra (M1GLA) in Imperial College London.
YouTube
· Oct 2, 2020
Video thumbnail for Master the Invertible Matrix Theorem: Characterizations and Examples
10:33
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Master the Invertible Matrix Theorem: Characterizations and Examples

In this video, we dive into one of the fundamental results in linear algebra: the Invertible Matrix Theorem. We'll explore the conditions that determine when a square matrix is invertible, providing examples and explanations for each scenario. Learn how every column having a pivot, no zero rows, and other conditions relate to matrix ...
YouTube
· Oct 8, 2024
Video thumbnail for LU Decomposition Part 4 Inversion of Matrix Using LU Decomposition
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LU Decomposition Part 4 Inversion of Matrix Using LU Decomposition

YouTube
· May 10, 2020
Video thumbnail for Inverse of a Square Matrix
08:52
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Inverse of a Square Matrix

How to find inverse of a matrix has been explained here. First the conditions for inverse and the existence of inverse has been explained followed by two examples to find inverse. The examples include a 2x2 matrix and a 3x3 matrix.
YouTube
· Jun 20, 2020
Video thumbnail for Algebraic Properties of Matrices: Inverses - Example 5
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Algebraic Properties of Matrices: Inverses - Example 5

In this video, I am going to prove that if a certain matrix is invertible, then a given matrix equation holds or is true if and only if another matrix equation holds or is true. This is a question under Chapter 1 Supplementary Exercises Question 19 in Elementary Linear Algebra with Supplemental Applications by Howard Anton and Chris Rorres 10th ...
YouTube
· Apr 4, 2025
Video thumbnail for Invertible Linear Transformations (Example)
06:21
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Invertible Linear Transformations (Example)

Show that the Linear Transformation is Invertible and Find a Formula for the Inverse.
YouTube
· Oct 9, 2020
Video thumbnail for The Adjugate of a Matrix and Invertibility
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The Adjugate of a Matrix and Invertibility

We define the adjugate matrix of an nxn square matrix. This matrix is formed by constructing all principal minors of order one and considering the corresponding cofactor. These elements are arranged in another nxn square matrix according to the row and column which were deleted, and then the matrix is transposed. We prove that when the original ...
YouTube
· Aug 18, 2024