Consider the bases for M2x2(R) given by a' : and a the stan- dard basis. For the transformation T : M2x2(R) → P2 given by T = (a+26)x2 + (b+3c)x+c+4d Consider the basis for P2 given by B' : x² + x,¤ – 1, x+1 and ß the standard basis. Find the following: ind the following: i. the change of coordinate matrix from a to a' v. [T]å vi. (T ii. the change of coordinate matrix from B to B' iii. the change of coordinate matrix from a' to a vii. [Ta" viii. [T iv. the change of coordinate matrix from B' to B
Consider the bases for M2x2(R) given by a' : and a the stan- dard basis. For the transformation T : M2x2(R) → P2 given by T = (a+26)x2 + (b+3c)x+c+4d Consider the basis for P2 given by B' : x² + x,¤ – 1, x+1 and ß the standard basis. Find the following: ind the following: i. the change of coordinate matrix from a to a' v. [T]å vi. (T ii. the change of coordinate matrix from B to B' iii. the change of coordinate matrix from a' to a vii. [Ta" viii. [T iv. the change of coordinate matrix from B' to B
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please solve the second half - parts (v), (vi), (vii), and (viii).
![Consider the bases for M2x2(R) given by a' :
and a the stan-
dard basis.
For the transformation T : M2x2(R) → P2 given by T
= (a+26)x2 + (b+3c)x+c+4d
Consider the basis for P2 given by B' : x² + x,¤ – 1, x+1 and ß the standard basis.
Find the following:
ind the following:
i. the change of coordinate matrix from a to a'
v. [T]å
vi. (T
ii. the change of coordinate matrix from B to B'
iii. the change of coordinate matrix from a' to a
vii. [Ta"
viii. [T
iv. the change of coordinate matrix from B' to B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60af46cc-0d0a-43f7-b2e0-84e1176374a1%2F2e7f9ea0-1332-4e5c-b379-3cc43b52a6fd%2F1t46a3.png&w=3840&q=75)
Transcribed Image Text:Consider the bases for M2x2(R) given by a' :
and a the stan-
dard basis.
For the transformation T : M2x2(R) → P2 given by T
= (a+26)x2 + (b+3c)x+c+4d
Consider the basis for P2 given by B' : x² + x,¤ – 1, x+1 and ß the standard basis.
Find the following:
ind the following:
i. the change of coordinate matrix from a to a'
v. [T]å
vi. (T
ii. the change of coordinate matrix from B to B'
iii. the change of coordinate matrix from a' to a
vii. [Ta"
viii. [T
iv. the change of coordinate matrix from B' to B
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