Question: True or false: (a) A matrix whose columns form an orthogonal basis of Rn is an orthogonal matrix. (b) A matrix whose rows form an

True or false:
(a) A matrix whose columns form an orthogonal basis of Rn is an orthogonal matrix.
(b) A matrix whose rows form an orthonormal basis of Rn is an orthogonal matrix.
(c) An orthogonal matrix is symmetric if and only if it is a diagonal matrix.

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