The set B = = {x² − 2, 4x² − (8 + 3x), 15x² − (28 + 9x)} is a basis for P2. Find the coordinates of p(x) [P(x)] B = = 43x² (78 +24x) relative to this basis:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
icon
Related questions
Question
The set B = {x² - 2, 4x² − (8 + 3x), 15x² − (28 + 9x)} is a basis for P₂. Find the coordinates of p(x) = 43x² − (78 + 24x) relative to this basis:
[P(x)] B =
Transcribed Image Text:The set B = {x² - 2, 4x² − (8 + 3x), 15x² − (28 + 9x)} is a basis for P₂. Find the coordinates of p(x) = 43x² − (78 + 24x) relative to this basis: [P(x)] B =
Expert Solution
steps

Step by step

Solved in 3 steps with 18 images

Blurred answer