2. Let S, T,U be linear transformations such that (letting {u1, u2} or {u1, u2, U3} be bases of the vector spaces) S(u1) = S(u2) U1 + U2, U2, T(u1 T(u2) U(u1) U(u2) U(u3) u2 , %3D 2u2, %3D U1 + U2 -...


Find bases for the range spaces of S, T, and U.


2. Let S, T,U be linear transformations such that (letting {u1, u2} or<br>{u1, u2, U3} be bases of the vector spaces)<br>S(u1) =<br>S(u2)<br>U1 + U2,<br>U2,<br>T(u1<br>T(u2)<br>U(u1)<br>U(u2)<br>U(u3)<br>u2 ,<br>%3D<br>2u2,<br>%3D<br>U1 + U2 -<br>Зиз<br>Зиа - 2из -<br>U3<br>%3D<br>=<br>U2<br>

Extracted text: 2. Let S, T,U be linear transformations such that (letting {u1, u2} or {u1, u2, U3} be bases of the vector spaces) S(u1) = S(u2) U1 + U2, U2, T(u1 T(u2) U(u1) U(u2) U(u3) u2 , %3D 2u2, %3D U1 + U2 - Зиз Зиа - 2из - U3 %3D = U2

Jun 05, 2022
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