# Say N Times N Matrix Orthogonal Prove Column Vectors A Orthogonal Matrix Unit Vectors Or Q

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Vector and posted on November 12th, 2018.

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Stack Exchange network consists of 174 Q&A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.Now graphigraphice that Q is an orthogonal matrix i.e its column vectors v_i are orthonormal. What does this tell you about the entries of QT Q What does this tell you about the entries of QT Q Similarly any set of n mutually orthogonal 1 n row vectors is a basis for the set of 1 n row vectors. Proof This follows by Corollary 4 of Linear Independent Vectors and Property 2. Observation Let C j be the j th column of the idengraphicy matrix I n .

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## Say N Times N Matrix Orthogonal Prove Column Vectors A Orthogonal Matrix Unit Vectors Or Q

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