The change of coordinates matrix from basis B to basis C of R³ is given by P = C+B The coordinates of vE R³ relative to the basis B are given by [v] B = = relative to the basis C. [v]c = Ex: 5 048 -85-5 3-9 16 2 8 6 Find [v]c. the coordinates of v

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ALLENGE
TIVITY
4.9.2: Change of coordinates matrices.
70 3046070.qx3zay7
Jump to level 1
The change of coordinates matrix from basis B to basis C of R³ is given by P =
C-B
relative to the basis C.
=
[v]c =
14
Ex: 5
The coordinates of v E R³ relative to the basis B are given by [V] B =
A
6 Find [v]c. the coordinates of v
0 4
8
-8 5 -5
2 3
-9
3₁
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Transcribed Image Text:ALLENGE TIVITY 4.9.2: Change of coordinates matrices. 70 3046070.qx3zay7 Jump to level 1 The change of coordinates matrix from basis B to basis C of R³ is given by P = C-B relative to the basis C. = [v]c = 14 Ex: 5 The coordinates of v E R³ relative to the basis B are given by [V] B = A 6 Find [v]c. the coordinates of v 0 4 8 -8 5 -5 2 3 -9 3₁ BOOKS Cata Feedback? >-D-D-D-D-
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