5 1 1 2 B 1 4 3 CEB 3 1 3 –1 We have two bases B and C for R³. B is given above, but C is not given explicitly. However, the change-of-coordinates matrix P is given. Let x be the vector in R³ with C-B 1 the property that x]B Determine both x and xc. R =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2
-1 1
2
B =
P =
C+B
1
4
3
4
3
1
1
3 -1
We have two bases B and C for R³. B is given above, but C is not given explicitly.
However, the change-of-coordinates matrix P is given. Let x be the vector in R with
C+B
1
the property that xB
Determine both x and xc.
Transcribed Image Text:2 -1 1 2 B = P = C+B 1 4 3 4 3 1 1 3 -1 We have two bases B and C for R³. B is given above, but C is not given explicitly. However, the change-of-coordinates matrix P is given. Let x be the vector in R with C+B 1 the property that xB Determine both x and xc.
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