Assume that A and B are matrices of the same size. Determine an expression for A if 2A − B = 5(A + 2B).
Solution:Given that,A and B are matrices of the same size.Addition and subtractionof the given matrices are possible.∴2A−B=5(A+2B) 2A−B=5A+10B 2A−5A=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.Solution:Given that,A and B are matrices of the same size.Addition and subtractionof the given matrices are possible.∴2A−B=5(A+2B) 2A−B=5A+10B 2A−5A=10B+B −3A=11B ∴A=−311BWhich is the expression for A.
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