b) Find [x] for x = b₁ - 2b2 + 2b3 To do this: Note: [x]=_P₁_[x]B C-B You found the matrix P above, so you need to determine the vector [x] B C-B [x] B = Now perform the following matrix vector multiplication [x]c=P[x]B= C-B =
b) Find [x] for x = b₁ - 2b2 + 2b3 To do this: Note: [x]=_P₁_[x]B C-B You found the matrix P above, so you need to determine the vector [x] B C-B [x] B = Now perform the following matrix vector multiplication [x]c=P[x]B= C-B =
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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Can someone please explain to me ASAP??!!!
![b) Find [x] for x = b₁ - 2b2 + 2b3
To do this: Note: [x]=_P₁_[x]B
C-B
You found the matrix P above, so you need to determine the vector [x] B
C-B
[x] B =
Now perform the following matrix vector multiplication
[x]c=P[x] B =
=
C-B
Submit Question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2Fc7f23462-f1ab-49d3-8132-1e6f218ea33e%2Fzvkvgta_processed.jpeg&w=3840&q=75)
Transcribed Image Text:b) Find [x] for x = b₁ - 2b2 + 2b3
To do this: Note: [x]=_P₁_[x]B
C-B
You found the matrix P above, so you need to determine the vector [x] B
C-B
[x] B =
Now perform the following matrix vector multiplication
[x]c=P[x] B =
=
C-B
Submit Question
![Let B = {b1,b2, b3} and C
=
b₁ =
- 2c1 + C3,
b2 = = C₁ + 2c₂2- C3,
b3 = 3c1 + 4c3
a) Find the change-of-coordinates matrix from B to C.
P
C-B
-2
-1
[x] B
3
0
You found the matrix P
C-B
2
0
{C1, C2, C3} be bases for a vector space V, and suppose
C-B
1
b) Find [x] for x = b₁ - 2b2 + 2b3
To do this: Note: [x]c
-1
4
PXB
above, so you need to determine the vector [x] B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2Fc7f23462-f1ab-49d3-8132-1e6f218ea33e%2Fqmncxrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let B = {b1,b2, b3} and C
=
b₁ =
- 2c1 + C3,
b2 = = C₁ + 2c₂2- C3,
b3 = 3c1 + 4c3
a) Find the change-of-coordinates matrix from B to C.
P
C-B
-2
-1
[x] B
3
0
You found the matrix P
C-B
2
0
{C1, C2, C3} be bases for a vector space V, and suppose
C-B
1
b) Find [x] for x = b₁ - 2b2 + 2b3
To do this: Note: [x]c
-1
4
PXB
above, so you need to determine the vector [x] B
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