1. Find [p]s, relative to the basis 3 = {P1, P2; P3} for P, where p = 4 – 3x + x2, p1 = 1, p2X, Pg = x2.2. What is the most general solution to u + v+ w = 1, u – w = 2 in vector form?

Answered: 1. Find [p]a, relative to the basis 3 =…

1. Find [p]a, relative to the basis 3 = {P1. P2: Ps} for P, where p = 4- 3x +x², P1 = 1, P2 = X, P3 = x2. %3D 2. What is the most general solution to u+ v+ w = 1, u – w = 2 in vector form?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

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Question

1. Find [p]s, relative to the basis 3 = {P1, P2; P3} for P, where p = 4 – 3x + x2, p1 = 1, p2
X, Pg = x2.
2. What is the most general solution to u + v+ w = 1, u – w = 2 in vector form?

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