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 relative to the standard bases respectively. Then which of the following is true? OAM() is a 3x2 matrix and M (h) is 2x4 matrix OB. M(h) is a 4x2 matrix, M(f) is a 2x3 matrix and M (hof) is a 4x3 matrix 4x2 matrix. OCM( h) is a 4x3 matrix, M (f) is a 2x3 matrix and M (h) OD. Both M(f) and M(h) are invertible since the linear maps and have inverses.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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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 relative to the standard bases
respectively. Then which of the following is true?
OAM() is a 3x2 matrix and M() is 2x4 matrix
OB. M(h) is a 4x2 matrix, M(f) is a 2x3 matrix and M (hof) is a 4x3 matrix
OCM( h) is a 4x3 matrix, M (f) is a 2x3 matrix and M (h)
4x2 matrix.
OD. Both M (f) and M(h) are invertible since the linear maps
and have inverses.
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 relative to the standard bases respectively. Then which of the following is true? OAM() is a 3x2 matrix and M() is 2x4 matrix OB. M(h) is a 4x2 matrix, M(f) is a 2x3 matrix and M (hof) is a 4x3 matrix OCM( h) is a 4x3 matrix, M (f) is a 2x3 matrix and M (h) 4x2 matrix. OD. Both M (f) and M(h) are invertible since the linear maps and have inverses.
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