The inverse_matrix function allows to calculate online the inverse of a matrix.

The calculator can calculate online the inverse of a square matrix. Let A and B be two square matrices, if B is the inverse of A, then A * B = I, I is the identity matrix. The matrix calculator may calculate the inverse of a matrix whose coefficients have letters or numbers, it is a formal matrix calculation calculator.

Calculating the inverse of a square matrix

The calculator can calculate the inverse of a matrix with the results in exact form: to calculate the inverse of matrix `(3,3,4),(1,2,0),(0,1,7)`, enter inverse_matrix(`[[3;1;0];[3;2;1];[4;0;7]]`), after calculation, the result is returned.

The calculator allows symbolic calculations, it is possible to use letters as well to calculate the inverse of a matrix like this: `((a,3*a,4),(1,2*a,0),(0,c,a/2))`, enter inverse_matrix(`[[a;1;0];[3a;2a;c];[4;0;a/2]]`), after calculation, the result is returned.

Syntax :

inverse_matrix(matrix)

Examples :

inverse_matrix(`[[3;1;0];[3;2;1];[4;0;1]]`) returns `[[2/7;-1/7;1/7];[1/7;3/7;-3/7];[-8/7;4/7;3/7]]`

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