Let the linear map f:R³ → R² and h: R² R³ M (f) be the matrix associated with f and " M (h) be the matrix associated with h relative to the standard bases respectively. Then which of the following is true? A. M(h) is a 4x2 matrix, M (f) is a 2x3 matrix and M(hof) is a 4×3 matrix. B. M (foh) is a 4×3 matrix, M (f) is a 2x3 matrix and M(h) 4x2 matrix. C. Both M (f) and M(h) are invertible since the linear maps f and h have inverses. D. M (f) is a 3×2 matrix and M(h) is 2x 4 matrix
Let the linear map f:R³ → R² and h: R² R³ M (f) be the matrix associated with f and " M (h) be the matrix associated with h relative to the standard bases respectively. Then which of the following is true? A. M(h) is a 4x2 matrix, M (f) is a 2x3 matrix and M(hof) is a 4×3 matrix. B. M (foh) is a 4×3 matrix, M (f) is a 2x3 matrix and M(h) 4x2 matrix. C. Both M (f) and M(h) are invertible since the linear maps f and h have inverses. D. M (f) is a 3×2 matrix and M(h) is 2x 4 matrix
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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