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Vijay posted an Question
February 10, 2023 • 23:15 pm 30 points
  • CSIR NET
  • Mathematical Sciences

12) let vand w be vector spaces and t: v> w be a linear transformation. then which of the following are true? if t is bijective, then dim (w) = rank (t) let b {

12) Let Vand W be vector spaces and T: V> W be a linear transformation. Then which of the following are true? If T is bijective, then dim (W) = rank (T) Let B {U1, , Um be vectors in V such that T(B) ={T(v1), . . . , T(Um)} is a set of m linearly independent in W Then B is linearly independent in V Let B -{v1, 2,. -U,is a basis for V Then T(B) = {T(v1), T(v2), . . -T(u,)} is a basis for W 12) D

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