Select ALL true statements: (A) For any matrix A, we have det(A" A) > 0. (B) If M is a square matrix with QR-factorization M=QR, then det(M) = +det(R). (C) If M is a matrix with QR-factorization M=QR, then Ris a diagonal matrix if and only if the columns of M are orthogonal to each othe (D) If M is a matrix with QR-factorization M=QR, then QQT = I. (E) Let P be the matrix of the orthogonal projection to a subspace of R". Then P is symmetric. O (A) (B) (C) (D) (E)

Select ALL true statements: (A) For any matrix A, we have det(A" A) > 0. (B) If M is a square matrix with QR-factorization M=QR, then det(M) = +det(R). (C) If M is a matrix with QR-factorization M=QR, then Ris a diagonal matrix if and only if the columns of M are orthogonal to each othe (D) If M is a matrix with QR-factorization M=QR, then QQT = I. (E) Let P be the matrix of the orthogonal projection to a subspace of R". Then P is symmetric. O (A) (B) (C) (D) (E)

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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