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

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A: Definition of normal matrix:

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A: We can solve this as follows:

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A: Inverse matrices

Q: .

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A: Step 1:Step 2:Step 3: Step 4:

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A: Recall the following. If A is a n×n matrix and m be any positive scalardet k A=kndet Adet Am=det Am

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A: This is a problem of vector calculus.

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A: We can check whether the given statement is true or false.

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A: The detailed solution is given below Thank you

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