For matrix A, B.(A+B)^T = A^T + B^T and (AB)^T = A^TB^Tif the orders of matrices are appropriate.(a) True(b) FalseI have been asked this question in an interview for job.This interesting question is from Operations on Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For matrix A, B.(A+B)^T = A^T + B^T and (AB)^T = A^TB^Tif the orders o

1.	For matrix A, B.(A+B)^T = A^T + B^T and (AB)^T = A^TB^Tif the orders of matrices are appropriate.(a) True(b) FalseI have been asked this question in an interview for job.This interesting question is from Operations on Matrices topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» RIGHT choice is (b) False Explanation: (A+B)^T = A^T + B^Tis correct but (AB)^T = B^TA^T(REVERSAL LAW).

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