Problem 4. Suppose the vector space V = P2, given the following set of basis B={1+², t-312, 1+t-t2}. and standard basis S = {1, t, t2}. 1 under B. (1)Find the coordinate of p(t) = 3t2 + 2t (2) Find the change-of-coordinates matrix from the basis B to the standard basis. (3) Find the change-of-coordinates matrix from the standard basis to the basis B.

Problem 4. Suppose the vector space V = P2, given the following set of basis B={1+², t-312, 1+t-t2}. and standard basis S = {1, t, t2}. 1 under B. (1)Find the coordinate of p(t) = 3t2 + 2t (2) Find the change-of-coordinates matrix from the basis B to the standard basis. (3) Find the change-of-coordinates matrix from the standard basis to the basis B.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.1: The Geometry And Algebra Of Vectors

Problem 4EQ

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