Question: true or false Let V and W be finite-dimensional vector spaces, and let T: V -> W be a linear transformation. Suppose that { v1,

true or false

let T: V -> W be a linear transformation. Suppose that {

Let V and W be finite-dimensional vector spaces, and let T: V -> W be a linear transformation. Suppose that { v1, 72, . .., VK} C V is a basis of V. If {T (21 ) , T (v2 ) ,..., T (UK ) } is linearly independent, then T'is surjective. O True O FalseLet V and W be finite-dimensional vector spaces, and let T': V -> W be a linear transformation. Suppose that { V1, 12, . . ., VK} C V is linearly independent. If {T (31 ) , T ( v2 ) ,..., T (Uk ) } is not a spanning set of W, then T' is not surjective. O True O FalseLet U, V and W be finite-dimensional vector spaces, and let S : U -> V and T: V - W be a linear transformations. Suppose that To S is surjective. Then T is surjective. O True O FalseLet U, V and W be finite-dimensional vector spaces, and let S : U -> V and T: V -> W be a linear transformations. Suppose that T is surjective. Then To S is surjective. O True O False

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