The inverse of - 1 a b- 0 x 0- 0 0 1 - is - 1 -a -b- 0 1 0- 0 0 1 - then x-

The correct option is D 1 1 amp; a amp; b 0 amp; x amp; 0 0 amp; 0 amp; 11 amp; a amp; b 0 amp; 1 amp; ...

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Inverse of a Matrix

The inverse o...

Question

The inverse of $⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1 & a & b 0 & x & 0 0 & 0 & 1 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭$ is $⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1 & - a & - b 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭$ then $x =$

a

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b

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0

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1

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⎡ ⎢ ⎣ \begin{matrix} 1 & a & b 0 & x & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦

⎡ ⎢ ⎣ \begin{matrix} 1 & - a & - b 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦

x =

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

10 B = ⎡ ⎢ ⎣ \begin{matrix} 4 & 2 & 2 - 5 & 0 & α 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦

B

o f A

α

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & x 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦

B = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 2 & y 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦

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x + y

⎡ ⎢ ⎣ \begin{matrix} 1 & - 2 & - 3 0 & 1 & 2 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦

A = [\begin{matrix} 1 & - 2 & 3 - 4 & 2 & 5 \end{matrix}]

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