The Identity Matrix is a matrix with a value of one. The Identity Matrix (I) is obtained by multiplying a matrix by its inverse. Furthermore, in order to obtain the inverse of a 3×3 matrix, we must first determine the determinant and adjoint of the matrix. A simple formula can be used to calculate the inverse of a 2×2 matrix. The determinant of matrix A is denoted as ad-bc, and the value of the determinant should not be zero in order for the inverse matrix of A to exist. In order to find the inverse matrix, the square matrix must be non-singular and have a determinant value that is not zero. And A.A -1 = I, where I is denoted as the identity matrix. The inverse of a matrix is another matrix that, when multiplied by the given matrix, yields the multiplicative identity.įor a matrix A, its inverse is A -1. If we consider a matrix A, we denote its inverse as A -1.
Just like a number has it’s reciprocal, even a matrix has an inverse.
