If - 9 -1 4- -2 1 3 -A- 1 2 -1- 0 4 9 - then find the matrix A-

If [ 9 amp; 1 amp; 4 2 amp; 1 amp; 3 ] =A+[ 1 amp; 2 amp; 1 0 amp; 4 amp; 9 ] then A=[ 9 amp; 1 amp; ...

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Addition and Subtraction of a Matrix

If [ 9 -1 4...

Question

If $[\begin{matrix} 9 & - 1 & 4 - 2 & 1 & 3 \end{matrix}] = A + [\begin{matrix} 1 & 2 & - 1 0 & 4 & 9 \end{matrix}]$ , then find the matrix A.

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Solution

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[\begin{matrix} 9 & - 1 & 4 - 2 & 1 & 3 \end{matrix}] = A + [\begin{matrix} 1 & 2 & - 1 0 & 4 & 9 \end{matrix}]

A

[\begin{matrix} 9 & - 1 & 4 \\ - 2 & 1 & 3 \end{matrix}] = A + [\begin{matrix} 1 & 2 & - 1 \\ 0 & 4 & 9 \end{matrix}]

[\begin{matrix} 1 & 2 & - 1 \\ 0 & 4 & 9 \end{matrix}]

[\begin{matrix} 9 & - 1 & 4 \\ - 2 & 1 & 3 \end{matrix}]

P = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 3 3 & - 1 & 2 - 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦

Q = ⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 1 3 & 1 & 2 1 & 2 & 3 \end{matrix} ⎤ ⎥ ⎦

P + Q + R

[\begin{matrix} 2 & 1 & 3 \end{matrix}] (\begin{matrix} - 1 & 0 & - 1 \\ - 1 & 1 & 0 \\ 0 & 1 & 1 \end{matrix}) (\begin{matrix} 1 \\ 0 \\ - 1 \end{matrix}) = A

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