Question: Could you please help me with this question and explain why. 1. In question ker=span infer to what? 2. how to know the rank of

Could you please help me with this question and explain why.

1. In question ker=span infer to what?

2. how to know the rank of the linear transformation( dimension of image)

I'm really confused.

Could you please help me with this question and

(a) Let q : M2,5 (R) - F be a linear transformation, and suppose there is a non-zero matrix BE M2,5 (R) such that Ker() = Span(B). What is rank()? rank() = 2 Incorrect answer. (b) Let y : Ps - M2,5 (R) be a linear transformation, suppose that P1 , P2, P3, P4 E Ker(yr) are linearly independent, and let A1, A2, A3 E Image(yr). True of False: One of the three matrices A1, A2, A3 is a linear combination of the other two. Answer: True Correct answer, well done. The linear transformation ys is (i) injective and surjective. (ii) injective, but not surjective. (iii) surjective, but not injective. (iv) neither injective nor surjective. Answer: (iv)

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