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30 Apr 2018
W a linear transformation. (10) 3. Let V and W be vector spaces and T: V (a) Show that kernel of T is a subspace of V. (b) Let {ei, C2, C3, C4} be the standard basis for R and let T: R → R3 be the linear transformation for which Tei) = (1,2,1), Tez) = (0,1,0), T(C3) = (1,3,0), T(44) = (1,1,1). Find a basis for the kernel of T.
W a linear transformation. (10) 3. Let V and W be vector spaces and T: V (a) Show that kernel of T is a subspace of V. (b) Let {ei, C2, C3, C4} be the standard basis for R and let T: R → R3 be the linear transformation for which Tei) = (1,2,1), Tez) = (0,1,0), T(C3) = (1,3,0), T(44) = (1,1,1). Find a basis for the kernel of T.
13 Jun 2023
Reid WolffLv2
2 May 2018
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