solve-for-A-and-B-if-2A-B-6-3-6-2-and-3A-2B-1-0-0-5-

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 \dots (i)

3 A + 2 B = D \dots (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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