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  3. let x ? l(u, v ) and y ? l(v, w). you may assume t

Let X ? L(U, V ) and Y ? L(V, W). You may assume that...

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Advance Math

Let X ? L(U, V ) and Y ? L(V, W). You may assume that V isfinite-dimensional.

1)Prove that dim(range Y) ? min(dim V, dim W). Explain thecorresponding result for matrices in terms of rank

2) If dim(range Y) = dim V, what can you conclude of Y? Givesome explanation

3) If dim(range Y) = dim W, what can you conclude of Y? Givesome explanation

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