Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Q1. Given
B = {vi = (0, 1, 1, 1), v2 = (2, 1, –1, -1), v3 = (1, 4, –1, 2), v4 = (6, 9, 4, 2)}
%3!
%3D
B' = {wi = (0, 8, 8), w2 = (-7,8, 1), w3 = (-6,9, 1)}
-2 1
6 2 1
-3 0 7 1
A =
1
and T : R4 → R3 such that matrix A is the transformation matrix in relation to B and B' basis.
a)Verify that set B is a basis of R*and that the set B' is a basis of R³.
b)Find [T(v1)]B, [T(v2)]B [T(v3)]B, [T(v4)]B
c) find
T(v1), T(v2), T(v3), T(v4)
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Transcribed Image Text:Q1. Given B = {vi = (0, 1, 1, 1), v2 = (2, 1, –1, -1), v3 = (1, 4, –1, 2), v4 = (6, 9, 4, 2)} %3! %3D B' = {wi = (0, 8, 8), w2 = (-7,8, 1), w3 = (-6,9, 1)} -2 1 6 2 1 -3 0 7 1 A = 1 and T : R4 → R3 such that matrix A is the transformation matrix in relation to B and B' basis. a)Verify that set B is a basis of R*and that the set B' is a basis of R³. b)Find [T(v1)]B, [T(v2)]B [T(v3)]B, [T(v4)]B c) find T(v1), T(v2), T(v3), T(v4)
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