Given the basis C, the change of basis matrix P, and [x] B. Determine x:C-B224-1 4 -22-1212 4111) Let C be a basis that contains vectors[6]2-11 12021-2 1-1X =-2 2 -22 2 22P =4341360-0=and [x] B2) Let C be a basis that contains vectors2C-B2 222 -1 -2 -2Then :X =P =C-B3and [x] Bwww.. Then :

We have to find [x] using Basis C and Change of basis matrix P.

Given the basis C, the change of basis matrix P, and [x] B. Determine x: C-B 2 -1 2 1 2 1) Let C be a basis that contains vectors HELL -1 -1 1 1 -2 x = 341364 2) Let C be a basis that contains vectors Then : X = 2 -1 P = C-B 1 1 -2 1 2 -1 P = C-B and [x] B = 2 2 2 2 Then : -2 2 2 2 2 1 1 -1 -2 -2 and [x] B =

Given the basis C, the change of basis matrix P, and [x] B. Determine x: C-B 2 -1 2 1 2 1) Let C be a basis that contains vectors HELL -1 -1 1 1 -2 x = 341364 2) Let C be a basis that contains vectors Then : X = 2 -1 P = C-B 1 1 -2 1 2 -1 P = C-B and [x] B = 2 2 2 2 Then : -2 2 2 2 2 1 1 -1 -2 -2 and [x] B =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section: Chapter Questions

Problem 10RQ

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