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Chapter 3. Bilinear forms - Trinity College Dublin

Orthogonal matrices Definition 3.14 – Orthogonal matrix A real n×n matrix A is called orthogonal, if AtA =I n. Theorem 3.15 – Properties of orthogonal matrices 1 To say that an n×n matrix A is orthogonal is to say that the columns of A form an orthonormal basis of Rn. 2 The product of two n×n orthogonal matrices is orthogonal.

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