If A-4312 and B-4 3- write AB-

AB=4312 43 #8658;AB= 16+9 4+6 #8658;AB= 72 ...

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Standard XII

Mathematics

Complex Numbers

If A=4312 and...

Question

If $A = [\begin{matrix} 4 & 3 \\ 1 & 2 \end{matrix}] and B = [\begin{matrix} - 4 \\ 3 \end{matrix}]$ , write AB.

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Solution

$A B = [\begin{matrix} 4 & 3 \\ 1 & 2 \end{matrix}] [\begin{matrix} - 4 \\ 3 \end{matrix}] \Rightarrow A B = [\begin{matrix} - 16 + 9 \\ - 4 + 6 \end{matrix}] \Rightarrow A B = [\begin{matrix} - 7 \\ 2 \end{matrix}]$

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If A=4312 and B=-4 3, write AB.

AB=4312-43⇒AB=-16+9-4+6⇒AB=-72

If $A = [\begin{matrix} 4 & 3 \\ 1 & 2 \end{matrix}] and B = [\begin{matrix} - 4 \\ 3 \end{matrix}]$ , write AB.

$A B = [\begin{matrix} 4 & 3 \\ 1 & 2 \end{matrix}] [\begin{matrix} - 4 \\ 3 \end{matrix}] \Rightarrow A B = [\begin{matrix} - 16 + 9 \\ - 4 + 6 \end{matrix}] \Rightarrow A B = [\begin{matrix} - 7 \\ 2 \end{matrix}]$