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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 3x2 matrix and M(h) is
2×4 matrix
Transcribed Image Text: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 3x2 matrix and M(h) is 2×4 matrix
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