If A=[2432] and B=[13−25] , then AB=

A=[2432] ,B=[13−25] AB=[2432][13−25] =[2×1+4×−22×3+4×53×1+2×−23×3+2×5] =[2−86+203−49+10] =[−626−119]

If A=[2432] and B=[13−25] , then AB=

A=[2432] ,B=[13−25] AB=[2432][13−25] =[2×1+4×−22×3+4×53×1+2×−23×3+2×5] =[2−86+203−49+10] =[−626−119]

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If $A = [\begin{matrix} 2 & 4 \\ 3 & 2 \end{matrix}]$ and $B = [\begin{matrix} 1 & 3 \\ - 2 & 5 \end{matrix}]$ , then $A B =$

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[\begin{matrix} 6 & 26 \\ - 1 & - 19 \end{matrix}]

[\begin{matrix} - 6 & 26 \\ - 1 & 19 \end{matrix}]

[\begin{matrix} - 6 & - 26 \\ - 1 & - 19 \end{matrix}]

[\begin{matrix} 6 & 26 \\ 1 & 19 \end{matrix}]

answer is D.

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Detailed Solution

A = [\begin{matrix} 2 & 4 \\ 3 & 2 \end{matrix}]

B = [\begin{matrix} 1 & 3 \\ - 2 & 5 \end{matrix}]

$A B = [\begin{matrix} 2 & 4 \\ 3 & 2 \end{matrix}] [\begin{matrix} 1 & 3 \\ - 2 & 5 \end{matrix}]$

$= [\begin{matrix} 2 \times 1 + 4 \times - 2 & 2 \times 3 + 4 \times 5 \\ 3 \times 1 + 2 \times - 2 & 3 \times 3 + 2 \times 5 \end{matrix}]$

$= [\begin{matrix} 2 - 8 & 6 + 20 \\ 3 - 4 & 9 + 10 \end{matrix}]$

$= [\begin{matrix} - 6 & 26 \\ - 1 & 19 \end{matrix}]$

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If A=[2432] and B=[13−25] , then AB=

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If $A = [\begin{matrix} 2 & 4 \\ 3 & 2 \end{matrix}]$ and $B = [\begin{matrix} 1 & 3 \\ - 2 & 5 \end{matrix}]$ , then $A B =$