Let A - - - 1 - 1 1- 2 1 - 3- 1 1 1 - and 10 - B - - - 4 2 2- - 5 0 - 1 - 2 3 - If B is inverse of matrix A- then - is

The correct option is A 5 A=[ 1 amp; 1 amp; 1; 2 amp; 1 amp; 3; 1 amp; 1 amp; 1 ] amp; B× 10 [ 4 amp; 2 amp; ...

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Multiplication of Matrices

Let A = [ [...

Question

Let $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 2 & 1 & - 3 1 & 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ and $(10) \times B = ⎡ ⎢ ⎣ \begin{matrix} 4 & 2 & 2 - 5 & 0 & α 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦$ If $B$ is inverse of matrix $A$ , then $α$ is

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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

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

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

α

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

A

α

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

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

α

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

A

α

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