By = (v1, v2, V3, V4) is a basis for the space V and Bw = (w1, w2, w3) is a basis for the space W. The linear transformation T :V → W has matrix 1 1 3 4 1 2 2 3 with respect to (By,Bw) If 1 4 0 1 -4 -5 1 1 | , [u2]B, 1 [u3]By which of (u1, u2, U3) is in 1 1 Kernel(T)? O Only u1 and u2. O Only U2 . O Only U1. O They all belong to Kernel(T). O Only u1 and uz.

By = (v1, v2, V3, V4) is a basis for the space V and Bw = (w1, w2, w3) is a basis for the space W. The linear transformation T :V → W has matrix 1 1 3 4 1 2 2 3 with respect to (By,Bw) If 1 4 0 1 -4 -5 1 1 | , [u2]B, 1 [u3]By which of (u1, u2, U3) is in 1 1 Kernel(T)? O Only u1 and u2. O Only U2 . O Only U1. O They all belong to Kernel(T). O Only u1 and uz.

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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