Given A - begin bmatrix 83 2 -24 -6 1486endbmatrix Find ABA- - beginbmatrix 08 x 0 0 - 0lendbmatrix B- - begin bmatrix 81- 1lendbmatrix C- - begin bmatrix 80 10 - 1lendbmatrix D- - begin bmatrix 181110 - 0lendbmatrix

The correct option is A =[ 0 amp;0; 0 amp; 0 ] AB=[ 3 amp;3; 2 amp; 2 ][ 4 amp; 6; 4 amp; 6 ] =[ 12+12 amp; 18+18; ...

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Standard X

Mathematics

Null Matrix

Given A = beg...

Question

Given $A = [\begin{matrix} - 3 & 3 2 & - 2 \end{matrix}] and B = [\begin{matrix} 4 & 6 4 & 6 \end{matrix}]$ Find AB

$= [\begin{matrix} 1 & 1 1 & 1 \end{matrix}]$

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$= [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]$

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$= [\begin{matrix} 1 & 1 0 & 0 \end{matrix}]$

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$= [\begin{matrix} 0 & 0 0 & 0 \end{matrix}]$

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Solution

The correct option is D
$= [\begin{matrix} 0 & 0 0 & 0 \end{matrix}]$

$A B = [\begin{matrix} - 3 & 3 2 & - 2 \end{matrix}] [\begin{matrix} 4 & 6 4 & 6 \end{matrix}] = [\begin{matrix} - 12 + 12 & - 18 + 18 8 - 8 & 12 - 12 \end{matrix}]$

$= [\begin{matrix} 0 & 0 0 & 0 \end{matrix}]$

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Given A=[−332−2] and B=[4646] Find AB

The correct option is D =[0000] AB=[−332−2][4646]=[−12+12−18+188−812−12] =[0000]

Given $A = [\begin{matrix} - 3 & 3 2 & - 2 \end{matrix}] and B = [\begin{matrix} 4 & 6 4 & 6 \end{matrix}]$ Find AB

The correct option is D
$= [\begin{matrix} 0 & 0 0 & 0 \end{matrix}]$

$A B = [\begin{matrix} - 3 & 3 2 & - 2 \end{matrix}] [\begin{matrix} 4 & 6 4 & 6 \end{matrix}] = [\begin{matrix} - 12 + 12 & - 18 + 18 8 - 8 & 12 - 12 \end{matrix}]$

$= [\begin{matrix} 0 & 0 0 & 0 \end{matrix}]$