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). 10 1 2, %3D What is the value of a if –v1 – 2v2 + av3 + Bv4 E Ker(T)? a) -2 b) -1 c) 0 d) 1 e) 2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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).
10 1 2,
%3D
What is the value of a if –v1 – 2v2 + av3 + Bv4 E Ker(T)?
a) -2
b) -1
c) 0
d) 1
e) 2
Transcribed Image Text: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). 10 1 2, %3D What is the value of a if –v1 – 2v2 + av3 + Bv4 E Ker(T)? a) -2 b) -1 c) 0 d) 1 e) 2
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