Compute the indicated product beginbmatrix 2 - 11138211-1 - 1lend bmatrix -egin bmatrix 1 - 0 - 1 W-1 - 2 - 1lendbmatrix

[ 2 amp; 1; 3 amp; 2; 1 amp; 1 ][ 1 amp; 0 amp; 1; 1 amp; 2 amp; 1 ] =[ 2 1 amp; 0+2 amp; 2+1; 3 2 amp; 0+4 amp; 3+2; ...

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Standard XII

Mathematics

Multiplication of Matrices

Compute the i...

Question

Compute the indicated product
$⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$

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Solution

$⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦ [\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}] = ⎡ ⎢ ⎣ \begin{matrix} 2 - 1 & 0 + 2 & 2 + 1 3 - 2 & 0 + 4 & 3 + 2 - 1 - 1 & 0 + 2 & - 1 + 1 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 1 & 4 & 5 - 2 & 2 & 0 \end{matrix} ⎤ ⎥ ⎦$

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Similar questions

Compute the indicated product.
$[\begin{matrix} 3 & - 1 & 3 - 1 & 0 & 2 \end{matrix}]$ $⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 1 & 0 3 & 1 \end{matrix} ⎤ ⎥ ⎦$

Compute the indicated product.
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$⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦$ $⎡ ⎢ ⎣ \begin{matrix} 1 & - 3 & 5 0 & 2 & 4 3 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦$

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$(i v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 3 & 5 0 & 2 & 4 3 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦$

$(v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦ [\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$

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Q. If

[\begin{matrix} 1 & 1 0 & 1 \end{matrix}] [\begin{matrix} 1 & 2 0 & 1 \end{matrix}] [\begin{matrix} 1 & 3 0 & 1 \end{matrix}] \dots [\begin{matrix} 1 & n - 1 0 & 1 \end{matrix}] = [\begin{matrix} 1 & 78 0 & 1 \end{matrix}]

,
then the inverse of

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

will be:

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Compute the indicated product ⎡⎢⎣2132−11⎤⎥⎦[101−121]

⎡⎢⎣2132−11⎤⎥⎦[101−121]=⎡⎢⎣2−10+22+13−20+43+2−1−10+2−1+1⎤⎥⎦=⎡⎢⎣123145−220⎤⎥⎦

Compute the indicated product
$⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$