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 D 5 10 A ^ 1 A= 4 amp; 2 amp; 2 5 amp; 0 amp; α #160; 1 amp; 2 amp; 3 A ⇒ 10I= 4 amp; ...

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Multiplication of Matrices

Let A= 1 ...

Question

Let $A =$ $∣ ∣ ∣ ∣ \begin{matrix} 1 & - 1 & 1 2 & 1 & - 3 1 & 1 & 1 \end{matrix} ∣ ∣ ∣ ∣$ and $10$ $B =$ $∣ ∣ ∣ ∣ \begin{matrix} 4 & 2 & 2 - 5 & 0 & α 1 & - 2 & 3 \end{matrix} ∣ ∣ ∣ ∣$ If $B$ is inverse of matrix $A$ , then $α$ is

- 2

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∣ ∣ ∣ ∣ \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} ⎤ ⎥ ⎦

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} ⎤ ⎥ ⎦

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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