Questions
If A is an invertible matrix and B is an orthogonal matrix. of the order same as that of A, then is
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a
an orthogonal matrix
b
symmetric matrix
c
skew-symmetric matrix
d
none of these
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Correct option is D
Let B=cos(π/2)sin(π/2)−sin(π/2)cos(π/2)=01−10and A=1 30 1, A−1=1−301Note that B is an orthogonal matrix.C=A−1BA=1−30101−101301=310−1−3Note that C is neither symmetric, nor skew-symmetric and nor-orthogonal.Similar Questions
If satisfies then
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