The change of coordinates matrix from basis B to basis C of R³ is given by P C-B The coordinates of v € R³ relative to the basis B are given by [v] B relative to the basis C. [v]c = Ex: 5 0₁ 1 3 = -5 -8 2 9 0 1 -4 4 .Find [v]c, the coordinates of v
The change of coordinates matrix from basis B to basis C of R³ is given by P C-B The coordinates of v € R³ relative to the basis B are given by [v] B relative to the basis C. [v]c = Ex: 5 0₁ 1 3 = -5 -8 2 9 0 1 -4 4 .Find [v]c, the coordinates of v
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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![The change of coordinates matrix from basis B to basis C of R³ is given by P =
C-B
The coordinates of v E R³ relative to the basis B are given by [v] =
relative to the basis C.
Ex: 5
19
[v]c =
=
-5 -8
2 9
0
1
-6
-4
4
6
8
1.Find [v]c, the coordinates of v
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf8aa82a-31a1-4382-a30e-3ad6a3174f84%2Fbf15222e-63ae-4577-87a8-108cbb1d9c3c%2Fk4q8w1i_processed.png&w=3840&q=75)
Transcribed Image Text:The change of coordinates matrix from basis B to basis C of R³ is given by P =
C-B
The coordinates of v E R³ relative to the basis B are given by [v] =
relative to the basis C.
Ex: 5
19
[v]c =
=
-5 -8
2 9
0
1
-6
-4
4
6
8
1.Find [v]c, the coordinates of v
3
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