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Forward elimination of Gauss-Jordan calculator reduces matrix to row echelon form. Back substitution of Gauss-Jordan calculator reduces matrix to reduced row echelon form. But practically it is more convenient to eliminate all elements below and above at once when using Gauss-Jordan elimination calculator. Our calculator uses this method.

Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input any example, choose "very detailed solution" option and examine the solution.

Matrix Power Calculator Here you can raise a matrix to a power with complex numbers online for free. You can examine multiplication apart that was used to get the current power on every step.

Inverse Matrix; Matrix Power; Matrix Transpose; Matrix Multiplication; Matrix Addition/Subtraction; Complex numbers. A complex number is a number that can be expressed in the form a + bi where \'a\' and \'b\' are real numbers and \'i\' is the imaginary unit, which satisfies the equation i 2 = -1.