se of Matrices 3 -2 -1 matrix inversion of the matrix is
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Inverse of Matrix for a matrix A is A-1. The inverse of a 2 × 2 matrix can be calculated using a simple formula. Further, to find the inverse of a 3 × 3 matrix, we need to know about the determinant and adjoint of the matrix. The inverse of matrix is another matrix, which on multiplying with the given matrix gives the multiplicative identity.
The inverse of matrix is used of find the solution of linear equations through the matrix inversion method. Here, let us learn about the formula, methods, and terms related to the inverse of matrix.
What is Inverse of 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. Let us check for the inverse of matrix, for a matrix of order 2 × 2, the general formula for the inverse of matrix is equal to the adjoint of a matrix divided by the determinant of a matrix.
The inverse of matrix exists only if the determinant of the matrix is a non-zero value. The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix
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