If A - - 1 -1 1- 2 1 -3- 1 1 1 - and B - - 4 2 2- -5 0 - 1 2 3 - If B is the inverse of A- then - is

The correct option is A 5 . of B = A ⇒ AB = I| #160; #160;AB = [ 1 amp; 1 amp; 1; 2 amp; 2 amp; 3; 1 amp; 1 amp; 1 ...

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Multiplication of Matrices

If A = [ 1 ...

Question

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

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

o f A

α

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

⎡ ⎢ ⎢ ⎣ \begin{matrix} c o s θ & - s i n θ & 0 s i n θ & c o s θ & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎥ ⎦

⎡ ⎢ ⎢ ⎣ \begin{matrix} 2 & 2 & 2 2 & 5 & 5 2 & 5 & 11 \end{matrix} ⎤ ⎥ ⎥ ⎦

⎡ ⎢ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 2 & 4 & 5 3 & 5 & 6 \end{matrix} ⎤ ⎥ ⎥ ⎦

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

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

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

B

A

α

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