Gokul posted an Question
November 13, 2020 • 22:57 pm 30 points
  • IIT JAM
  • Mathematics (MA)

3. let v and w be vector spaces over a field f. let s:v-w and t:wv be linear transformations. then which one of the following is true? (a) if st is one-to-one,

3. Let V and W be vector spaces over a field F. Let S:V-W and T:WV be linear transformations. Then which one of the following is true? (a) if ST is one-to-one, then S is one-to-one (6) if V=W and v is finite-dimensional such that 7S = 1, then T is invertible ) If dimV =2 and dim W=3. then ST is invertible d) If TS is onto then, s is onto U 2014)

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