![]() ![]() ![]() The determinant matrix created after eliminating the row and column of the matrix in which that particular element lies is defined as the minor of that element in the matrix. The identity matrix for the 2×2 matrix is given by, It is also called a Unit Matrix or an Elementary Matrix. An Identity Matrix is a diagonal matrix in which all diagonal components are equal to 1 and the rest are equal to 0. 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. ![]()
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