Inversion of Matrix
Date:13/12/2023 23UCM004 Inverse of Matrix The inverse of a square Matrix A is denoted by A-1 . A -1 is unique. A-1 exists if and only if A is non singular. |A| ≠ 0. Formula: A. -1 = 1 |𝐴| (𝑎𝑑𝑗 𝐴). The inverse of a square Matrix A is deno The inverse of a matrix is another matrix that, when multiplied by the given matrix, yields the multiplicative identity. For a matrix A, its inverse is A - 1 . And A.A - 1 = I , where I is denoted as the identity matrix. In order to find the inverse matrix, the square matrix must be non-singular and have a determinant value that is not zero. Let us consider a 2×2 square matrix A. The determinant of matrix A is denoted as ad-bc , and the value ...