the vector spaceLet P bedeg reeofpolynomials of2.orless.the following 2 orderedB-{-x+x², -x², l-x5Considerbases of P2C= ? 2+x -x², 2-x², 3+x=2x²}a)basis BFind thechange ofbasis matrix fromtobasisC.b) Findbasistheofchangematrik fromB.basistobasis

Given that B={-x+x2,-x2,1-x} and C={2+x-x2,2-x2,3+x-2x2} We find the change of basis matrix…

Answered: B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?,…

B- {-x+x², -x², l-x5 2 2 C=? 2+x -x?, 2-x?, 3+x=2x2} 1 2+ X a) Find the a). change of basis matrix from basis B to basis C.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.2: Norms And Distance Functions

Problem 33EQ

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Question

the vector space
Let P be
deg ree
of
polynomials of
2.
or
less.
the following 2 ordered
B-{-x+x², -x², l-x5
Consider
bases of P2
C= ? 2+x -x², 2-x², 3+x=2x²}
a)
basis B
Find the
change of
basis matrix from
to
basis
C.
b) Find
basis
the
of
change
matrik from
B.
basis
to
basis

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