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

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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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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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