If A is an n×n matrix having linearly independent eigenvectors v1,v2, . . . ,vn, then the n×n matrix P= [v1v2. . .vn] is invertible.
If A is an n×n matrix having linearly independent eigenvectors v1,v2, . . . ,vn, then the n×n matrix P= [v1v2. . .vn] is invertible.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 23EQ
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If A is an n×n matrix having linearly independent eigenvectors v1,v2, . . . ,vn, then the n×n matrix P= [v1v2. . .vn] is invertible.
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