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4. Let V be a vector space of dim 3 over R let T : V → V be a Linear Transformation 1. -1 given by the matrix A = 1 -4 3 with ordered basis {V1, V2, V3} of V. Then -2 5 -3 which of the following is TRUE? (a) T(V2) = 0 (c) T(V1 + V2 + V3) = 0 (b) T(V, + V2) =0 . (d) T(V1 + V3) = T(V2)

4. Let V be a vector space of dim 3 over R let T : V → V be a Linear Transformation 1. -1 given by the matrix A = 1 -4 3 with ordered basis {V1, V2, V3} of V. Then -2 5 -3 which of the following is TRUE? (a) T(V2) = 0 (c) T(V1 + V2 + V3) = 0 (b) T(V, + V2) =0 . (d) T(V1 + V3) = T(V2)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let V be a vector space of dim 3 over R let T : V → V be a Linear Transformation 1. -1 given by the matrix A = 1 -4 3 with ordered basis {V1, V2, V3} of V. Then - 2 5 -3 which of the following is TRUE? (a) T(V2) = 0 (c) T(V, + V2 + V3) = 0 (b) T(V1 + V2) =0 . (d) T(V1 + V3) = T(V2) %3D
Transcribed Image Text:Let V be a vector space of dim 3 over R let T : V → V be a Linear Transformation 1. -1 given by the matrix A = 1 -4 3 with ordered basis {V1, V2, V3} of V. Then - 2 5 -3 which of the following is TRUE? (a) T(V2) = 0 (c) T(V, + V2 + V3) = 0 (b) T(V1 + V2) =0 . (d) T(V1 + V3) = T(V2) %3D
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