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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 55EQ

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