III. Consider the bases for M2x2(R) given by a' : and a the stan- dard basis. Consider the basis for P, given by B' : x² + x,x – 1, x+1 and B the standard basis. Find the following: iv. the change of coordinate matrix from 3' to B For the transformation T : M2x2(R) → P2 given by T = (a+2b)x² + (b+3c)x+c+4d find the following: v. [Ta vi. [T
III. Consider the bases for M2x2(R) given by a' : and a the stan- dard basis. Consider the basis for P, given by B' : x² + x,x – 1, x+1 and B the standard basis. Find the following: iv. the change of coordinate matrix from 3' to B For the transformation T : M2x2(R) → P2 given by T = (a+2b)x² + (b+3c)x+c+4d find the following: v. [Ta vi. [T
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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Transcribed Image Text:III. Consider the bases for M2x2(R) given by a' :
and a the stan-
dard basis.
Consider the basis for P, given by B' : x² + x,x – 1, x+1 and B the standard basis.
Find the following:
iv. the change of coordinate matrix from 3' to B
For the transformation T : M2x2(R) → P2 given by T
= (a+2b)x² + (b+3c)x+c+4d
find the following:
v. [Ta
vi. [T
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