If A - lbegin bmatrix 5 - 4113 -1lendbmatrix - B - -begin bmatrix 2 - 111084lend bmatrix and C - begin bmatrix -3 - 2 11 - 0lend bmatrix then find A - B - CA- beginbmatrix 10 -3 1-2 - 3lendbmatrix B- Vbeginbmatrix 10 - 3 2 - 3lendbmatrix C- Vbeginbmatrix -10 -3 1-2 -3 e n d b m a t r i x D- beginbmatrix -10 - 3112 -3endbmatrix

The correct option is B [ 10 amp; 3; 2 amp; 3 ] A + B = [ 5 amp; 4; 3 amp; 1 ]+ [ 2 amp; 1; 0 amp; 4 ] = [ 7 amp; 5; ...

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Byju's Answer

Standard X

Mathematics

Addition and Subtraction of a Matrix

If A = lbegin...

Question

If $A = [\begin{matrix} 5 & 4 3 & - 1 \end{matrix}], B = [\begin{matrix} 2 & 1 0 & 4 \end{matrix}]$ and $C = [\begin{matrix} - 3 & 2 1 & 0 \end{matrix}]$ then find A + B - C

$[\begin{matrix} 10 & - 3 - 2 & 3 \end{matrix}]$

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$[\begin{matrix} - 10 & 3 2 & - 3 \end{matrix}]$

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$[\begin{matrix} 10 & 3 2 & 3 \end{matrix}]$

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$[\begin{matrix} - 10 & - 3 - 2 & - 3 \end{matrix}]$

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Solution

The correct option is C
$[\begin{matrix} 10 & 3 2 & 3 \end{matrix}]$

$A + B = [\begin{matrix} 5 & 4 3 & - 1 \end{matrix}] + [\begin{matrix} 2 & 1 0 & 4 \end{matrix}] = [\begin{matrix} 7 & 5 3 & 3 \end{matrix}]$

$(A + B) - C = [\begin{matrix} 7 & 5 3 & 3 \end{matrix}] - [\begin{matrix} - 3 & 2 1 & 0 \end{matrix}]$
$= [\begin{matrix} 10 & 3 2 & 3 \end{matrix}]$

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If A=[543−1],B=[2104] and C=[−3210] then find A + B - C

The correct option is C [10323] A+B=[543−1]+[2104]=[7533] (A+B)−C=[7533]−[−3210] =[10323]

If $A = [\begin{matrix} 5 & 4 3 & - 1 \end{matrix}], B = [\begin{matrix} 2 & 1 0 & 4 \end{matrix}]$ and $C = [\begin{matrix} - 3 & 2 1 & 0 \end{matrix}]$ then find A + B - C