Question: Q: Suppose A = reflVis the matrix representing reflection across a subspace V in Rn, defined by reflV(x||+ x) = x||- x(that is, fix the

Q: Suppose A = reflVis the matrix representing reflection across a subspace V in Rn, defined by reflV(x||+ x) = x||- x(that is, fix the part parallel to V and negate the part perpendicular to V).

Prove that A is a symmetric matrix.

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