By = (v1, v2, V3, v4) is a basis for the space V and Bw = (w1, w2, w3) isa basis for the space W. The linear transformation T : V → W has matrix(1 1 2 5)1 2 3 8 with respect to (By,Bw).(1 0 1 2,%3DWhat is the value of t if 5w1 + 3w2 + tw3 € Range(T)?a) 7b) 6c) 5d) 4e) 3

Given the linear transformation T:V→W has matrix 112512381012 with respect to Bv,Bw Where,…

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 (i 1 2 5\ 1 2 3 8 with respect to (By, Bw). (1 0 1 2) What is the value of t if 5w¡ + 3wz + twz € Range(T)? %3D %3D a) 7 b) 6 c) 5 d) 4 e) 3

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 (i 1 2 5\ 1 2 3 8 with respect to (By, Bw). (1 0 1 2) What is the value of t if 5w¡ + 3wz + twz € Range(T)? %3D %3D a) 7 b) 6 c) 5 d) 4 e) 3

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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Question

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 2 5)
1 2 3 8 with respect to (By,Bw).
(1 0 1 2,
%3D
What is the value of t if 5w1 + 3w2 + tw3 € Range(T)?
a) 7
b) 6
c) 5
d) 4
e) 3

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