Which of the following is true or false? a) If  Q and  P  are the orthogonal matrices then  the product QP  is also an orthogonal matrix. b)In C[-1,1], with the standard inner product f(x)=e^x and f(x)=e^−x are orthogonal. c)An orthonormal and symmetric matrix  Q  preserves the norm of vector  x , that is  ∥Qx∥=∥x∥.

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A: Applying conditions of symmetric matrices we have

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A:

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A: