Given A - begin bmatrix -2 - 1 e n d b m a t r i x - text and - B - beginbmatrix 4 -3 12 -1bmatrix Find A - B -2 l where l is a 2 - 2 unit matrixA- begin bmatrix 582 10 - 2lendbmatrix B- Nbeginbmatrix 180110 - 1lendbmatrix - 10 - 0lendbmatrix 5 -2 108-2lendbmatrix

The correct option is D [ 5 amp; 2; 0 amp; 2 ] A+B=[ 3 amp; 1; 2 amp; 1 ]+[ 4 amp; 3; 2 amp; 1 ]=[ 7 amp; 2; 0 amp ...

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Standard X

Mathematics

Addition and Subtraction of a Matrix

Given A =⟨ be...

Question

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

Find A+B-2l where l is a $2 \times 2$ unit matrix

$[\begin{matrix} 5 & 2 0 & 2 \end{matrix}]$

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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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$[\begin{matrix} 5 & - 2 0 & - 2 \end{matrix}]$

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Solution

The correct option is D
$[\begin{matrix} 5 & - 2 0 & - 2 \end{matrix}]$

$A + B = [\begin{matrix} 3 & 1 - 2 & 1 \end{matrix}] + [\begin{matrix} 4 & - 3 2 & - 1 \end{matrix}] = [\begin{matrix} 7 & - 2 0 & 0 \end{matrix}]$

$2 l = [\begin{matrix} 2 & 0 0 & 2 \end{matrix}]$

$A + B - 2 l = [\begin{matrix} 7 & - 2 0 & 0 \end{matrix}] - [\begin{matrix} 2 & 0 0 & 2 \end{matrix}] = [\begin{matrix} 5 & - 2 0 & - 2 \end{matrix}]$

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Given A=[31−21] and B=[4−32−1] Find A+B-2l where l is a 2×2 unit matrix

The correct option is D [5−20−2] A+B=[31−21]+[4−32−1]=[7−200] 2l=[2002] A+B−2l=[7−200]−[2002]=[5−20−2]

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

Find A+B-2l where l is a $2 \times 2$ unit matrix