2) Now row reduce the above until you get the identity matrix on the left [1C²B] P = C-B 3) Use the fact that P = B-C P = B-C to obtain P - (0²B) P C-B -1 C-B (they are inverses of each other)
2) Now row reduce the above until you get the identity matrix on the left [1C²B] P = C-B 3) Use the fact that P = B-C P = B-C to obtain P - (0²B) P C-B -1 C-B (they are inverses of each other)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Can someone please explain to me ASAP??!!
![Let B = {b₁, b2} and C = {c1, c2} be bases for R². Find the change-of-coordinate matrix from B to C
and the change-or-coordinate matrix from C to B.
b₁ =
----
, b₂ =
Show the steps:
[₁]₁₁ = []₁²₂= [²]
C2
Set up the following matrix
[(C1, C2, |, b1, b2)
[Ic²B]
P =
C-B
[C₁ C2 b₁ b2]
2) Now row reduce the above until you get the identity matrix on the left
86
to obtain P
C-B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2Ff6dfe2dd-d818-4f83-a195-0bcb71ed088e%2F4m1x3p4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let B = {b₁, b2} and C = {c1, c2} be bases for R². Find the change-of-coordinate matrix from B to C
and the change-or-coordinate matrix from C to B.
b₁ =
----
, b₂ =
Show the steps:
[₁]₁₁ = []₁²₂= [²]
C2
Set up the following matrix
[(C1, C2, |, b1, b2)
[Ic²B]
P =
C-B
[C₁ C2 b₁ b2]
2) Now row reduce the above until you get the identity matrix on the left
86
to obtain P
C-B
![2) Now row reduce the above until you get the identity matrix on the left
P
[1C²B]
P =
C-B
3) Use the fact that P =
B-C
P =
B-C
Submit Question
to obtain P
C-B
-1
(OFB) -²
P
(they are inverses of each other)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2Ff6dfe2dd-d818-4f83-a195-0bcb71ed088e%2Fihv9g1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) Now row reduce the above until you get the identity matrix on the left
P
[1C²B]
P =
C-B
3) Use the fact that P =
B-C
P =
B-C
Submit Question
to obtain P
C-B
-1
(OFB) -²
P
(they are inverses of each other)
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