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This is one of the most important topics in class 12.Matrices for class 12explains the types of matrices in detail. Notation If A is a m×n matrix and B is a p×q matrix, then the matrix product of A and B is represented by: ...
Proof: Let us take A to be a square matrix of order n x n. Let us assume matrices B and C to be inverses of matrix A. Now AB = BA = I since B is the inverse of matrix A. Similarly, AC = CA = I. But, B = BI = B (AC) = (BA) C = IC = C ...