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Find the values of a,b,c and A-1 when \[ A=\dfrac {1}{9} \begin{bmatrix}
-8 &4 &a \\ 1
&4 &b \\4
&7 &c
\end{bmatrix} \] is or orthogonal.
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written 3.0 years ago by
teamques10
★ 65k
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Since the given matrix is orthogonal, we can write ,
$A.A^{'}= I \\ \therefore \frac1{81} \begin{bmatrix} -8 & 4 & a \\ 1 & 4 & b\\ 4 & 7 & c \end{bmatrix} . \begin{bmatrix} -8 & 1 & 4 \\ 4 & 4 & 7 \\ a & b …
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