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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 10EQ: In Exercises 7-10, show that the given vectors form an orthogonal basis for2or3. Then use Theorem...

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