If A-frac13 -eginbmatrix 1 - 2 - 2112 - 1 -211x - 2 - ylend bmatrix is an orthogonal matrix then value of x-y is equal to

The correct option is A 3A.A^T=I ⇒1/9[ 9 amp; 0 amp; x+4+2y; 0 amp; 9 amp; 2x+2 2y; x+4+2y amp; 2x+2 ...

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Multiplication of matrices

If A=⟨frac13 ...

Question

If $A = \frac{1}{3} ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 2 2 & 1 & - 2 x & 2 & y \end{matrix} ⎤ ⎥ ⎦$ is an orthogonal matrix then value of x+y is equal to

-3

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

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

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