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Question 16: Carefully consider if equalities below valid for matrices. For each equality state if there...

Question:

Question 16: Carefully consider if equalities below valid for matrices. For each equality state if there is a restriction on

Question 16: Carefully consider if equalities below valid for matrices. For each equality state if there is a restriction on dimensions under which they are valid or are there any other properties of matrices for which each might be valid, if ever? (a) 2(A - B) = 2A - 2B (b) (A - B)2 = A2 - 2AB + B2 (c) (A - B)(A + B) = A2 - B2

Answers

(a) 2 (A-B) = 2A-2B valid, wifor all dimensions. Because matrices are associative over scolar. (b) NOT NALID for at for any D

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