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Let the linear map ƒ:R³→R² and h: R² R³, M(f) be the matrix associated with ƒ 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 4x3 matrix. B. Both M (f) and M(h) are invertible since the linear maps f and h have inverses. C. M(f) is a 3×2 matrix and M (h) is 2x4 matrix D. M(foh) is a 4x 3 matrix, M (f) is a 2x 3 matrix and M (h) 4x2 matrix.

Let the linear map ƒ:R³→R² and h: R² R³, M(f) be the matrix associated with ƒ 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 4x3 matrix. B. Both M (f) and M(h) are invertible since the linear maps f and h have inverses. C. M(f) is a 3×2 matrix and M (h) is 2x4 matrix D. M(foh) is a 4x 3 matrix, M (f) is a 2x 3 matrix and M (h) 4x2 matrix.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let the linear map ƒ: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 4x3 matrix. B. Both M (f) and M(h) are invertible since the linear maps f and h have inverses. C. M(f) is a 3×2 matrix and M (h) is 2x4 matrix D. M(foh) is a 4x 3 matrix, M (f) is a 2x 3 matrix and M (h) 4x2 matrix.
Transcribed Image Text:Let the linear map ƒ: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 4x3 matrix. B. Both M (f) and M(h) are invertible since the linear maps f and h have inverses. C. M(f) is a 3×2 matrix and M (h) is 2x4 matrix D. M(foh) is a 4x 3 matrix, M (f) is a 2x 3 matrix and M (h) 4x2 matrix.
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