Question: (10 marks in total) (a) (5 marks) Suppose that q : R - P, and ys : Pg - M25 (R) are injective linear transformations.

(10 marks in total) (a) (5 marks) Suppose that q : R - P, and ys : Pg - M25 (R) are injective linear transformations. Prove that the composition us . c is an isomorphism. (b) (5marks) Suppose that op : M3(R) - R and ws : R - P, are linear transformations such that the composition ys . is surjective. Prove that ys is an isomorphism

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