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If matrix A and B are symmetric and AB = BA iff _________(a) AB is symmetric matrix(b) AB is an anti-symmetric matrix(c) AB is a null matrix(d) None of the mentionedI got this question during an interview for a job.This interesting question is from Transpose of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics |
Answer» CORRECT option is (a) AB is symmetric MATRIX Explanation: For two symmetric MATRICES A and B, AB is a symmetric matrix if and only if AB = BA. |
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