For the matrices A= pmatrix3&-4\1&-1 pmatrix and B= pmatrix-29&49\-13&18 pmatrix, if (A^15+B) pmatrixx\ pmatrix= pmatrix0\0 pmatrix, then among the following which one is true?

Question

Accepted Answer

Correct answer: C. (c) Here A^n=(2n+1-4nn-2n+1) ⇒A^15=(31-6015-29) ⇒A^15+B=(2-112-11)Now (A^15+B) (xy )= (00 ) ⇒(2-112-11) (xy )= (00 ) ⇒2x-11y=0 ⇒x= 11y2. For y=2 ,x=11.

$For the matrices A = (31 - 4 - 1) and B = (- 29 - 13 4918), if (A^{15} + B) (x y) = (00), then among the following which one is true?$

Solution

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