Please help me on this question! Thank you! Give very detailedproof please!![5. Let T : U → V be a linear transformation with A a basis for U and B a basis for V (a) If T is surjective, by a previous homework problem, {T(xi),... ,T(xn)) is a span ning set for V. Show that if {T(^1),... ,T(xn)J is a spanning set for V, then T is suriective. (b) Show that T is surjective iff the rank of [T]B,A is equal to the size of B. (Hint: Use the previous part](https://media.cheggcdn.com/media%2Fb8a%2Fb8a15be9-9226-40fd-b5e6-93e3dc7da8b4%2FphpzsKpiq.png)
5. Let T : U →
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(Solved) : 5 Let T U V Linear Transformation Basis U B Basis V T Surjective Previous Homework Problem Q32729552 . . . .
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