solve for A and B if 2A+B [((6 3)),((6 −2)) ] and 3A+2B [((1 0)),((0 5)) ]


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Question Number 25623 by Sunilll last updated on 12/Dec/17

$s o l v e f o r A a n d B i f 2 A + B [\begin{matrix} 6 3 \\ 6 - 2 \end{matrix}]$ $a n d 3 A + 2 B [\begin{matrix} 1 0 \\ 0 5 \end{matrix}]$
	Answered by mrW1 last updated on 12/Dec/17

	$2 A + B = C . . . (i)$ $3 A + 2 B = D . . . (i i)$ $2 (i) - (i i) :$ $\Rightarrow A = 2 C - D = [\begin{matrix} 11 & 6 \\ 12 & - 9 \end{matrix}]$ $\Rightarrow B = C - 2 A = [\begin{matrix} - 16 & - 9 \\ - 18 & 16 \end{matrix}]$
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