If A - - 7 2- 1 3 - and A - B - - -1 0- 2 -4 - then the matrix B -

The correct option is B [ 8 amp; 2 1 amp; 7] Given, A=[ 7 amp; 2; 1 amp; 3 ] #160;Also, #160; A+B=[ 1 amp; 0; ...

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Byju's Answer

Standard XII

Mathematics

Addition and Subtraction of a Matrix

If A = [ 7 ...

Question

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

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

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[\begin{matrix} 6 & 2 3 & - 1 \end{matrix}]

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[\begin{matrix} - 8 & - 2 1 & - 7 \end{matrix}]

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[\begin{matrix} 8 & 2 - 1 & 7 \end{matrix}]

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Solution

The correct option is B $[\begin{matrix} - 8 & - 2 1 & - 7 \end{matrix}]$
Given, $A = [\begin{matrix} 7 & 2 1 & 3 \end{matrix}]$
Also,
$A + B = [\begin{matrix} - 1 & 0 2 & - 4 \end{matrix}] \Rightarrow B = [\begin{matrix} - 1 & 0 2 & - 4 \end{matrix}] - [\begin{matrix} 7 & 2 1 & 3 \end{matrix}] \Rightarrow B = [\begin{matrix} - 1 - 7 & 0 - 2 2 - 1 & - 4 - 3 \end{matrix}] \Rightarrow B = [\begin{matrix} - 8 & - 2 1 & - 7 \end{matrix}]$
$\Rightarrow B = [\begin{matrix} - 8 & - 2 1 & - 7 \end{matrix}]$

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If A=[7213] and A+B=[−102−4], then the matrix B=

The correct option is B [−8−21−7]Given, A=[7213] Also, A+B=[−102−4]⇒B=[−102−4]−[7213]⇒B=[−1−70−22−1−4−3]⇒B=[−8−21−7]⇒B=[−8−21−7]

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