Question: I need some help on a few math problems that I have: Question 2. (15 pts) (a) Let A be a (4 x 4) matrix.

I need some help on a few math problems that I have:

Question 2. (15 pts) (a) Let A be a (4 x 4) matrix. We view A as a linear mapping R' - R'. Suppose det(A) #0. What is the dimension of the range of A? Justify your answer. (b) Suppose F : R5 - R3 is linear mapping. Is it possible that dim ker F = 0? Justify your answer. (c) Let B : R' - R' be a linear mapping. What are the possible integer values that dim(ker B) can take? List all possibilities.Question 5. (10 pts) Given the vectors in R . Determined whether v = (3,0, 1, 4) is in the span of 1, 12, us

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