Question #190365

Assume that A and B are matrices of the same size. Determine an expression for A if 2A − B = 5(A + 2B).


1
Expert's answer
2021-05-11T13:56:29-0400

Solution:Given that,A and B are matrices of the same size.Addition and subtractionof the given matrices are possible.2AB=5(A+2B)  2AB=5A+10B 2A5A=10B+B       3A=11B          A=113BWhich is the expression for A.Solution: Given ~that, A ~and~ B~ are~ matrices ~of~ the ~same~ size. Addition ~and ~subtraction \\of ~the ~ given ~ matrices ~are ~possible. \\\therefore 2A − B = 5(A + 2B) \\~~2A-B=5A+10B \\~2A-5A=10B+B \\~~~~~~~-3A=11B \\~~~~~~~~ ~~\therefore A=-\frac{11}{3} B \\Which ~is ~ the~ expression ~for~ A.


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