If - 1 4- -2 3 - 2 M - 3 - 3 2- 0 -3 - Find the matrix M-

[ 1 amp; 4; 2 amp; 3 ] + 2M = 3[ 3 amp;2; 0 amp; 3 ] 2M=[ 9 amp;6; 0 amp; 9 ] [ 1 amp;4; 2 amp; 3 ] =[ 8 ...

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Standard X

Mathematics

Addition and Subtraction of a Matrix

If [ 1 4; -2 ...

Question

If $[\begin{matrix} 1 & 4 - 2 & 3 \end{matrix}] + 2 M = 3 [\begin{matrix} 3 & 2 0 & - 3 \end{matrix}]$
Find the matrix M.

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Solution

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

2M= $[\begin{matrix} 9 & 6 0 & - 9 \end{matrix}]$ - $[\begin{matrix} 1 & 4 - 2 & 3 \end{matrix}]$ = $[\begin{matrix} 8 & 2 2 & - 12 \end{matrix}]$
M= $[\begin{matrix} 4 & 1 1 & - 6 \end{matrix}]$

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If [14−23]+2M=3[320−3] Find the matrix M.

[14−23] + 2M = 3[320−3] 2M=[960−9]-[14−23] =[822−12] M=[411−6]

If $[\begin{matrix} 1 & 4 - 2 & 3 \end{matrix}] + 2 M = 3 [\begin{matrix} 3 & 2 0 & - 3 \end{matrix}]$
Find the matrix M.

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

2M= $[\begin{matrix} 9 & 6 0 & - 9 \end{matrix}]$ - $[\begin{matrix} 1 & 4 - 2 & 3 \end{matrix}]$ = $[\begin{matrix} 8 & 2 2 & - 12 \end{matrix}]$
M= $[\begin{matrix} 4 & 1 1 & - 6 \end{matrix}]$