Name: Date: MATH 270: Linear Algebra m270q032a Page 1 of 2 CW 32: Vector Spaces 2 In Problem 34, find a basis for each vector space. heen 3α-2b] -4c a, b, c E R A. H = b B. K =|b E R3:a 3b + 2c= useobrin In Problem 35, define T: P2R2 by p(0)] T(p) = Ip(2) Find the standard matrix of the transformation. Show your calculations. (Note: the standard basis for P2 is {1, t, t2}.) A. Find a basis for the kernel of the transformation. Show your calculations. B.

Name: Date: MATH 270: Linear Algebra m270q032a Page 1 of 2 CW 32: Vector Spaces 2 In Problem 34, find a basis for each vector space. heen 3α-2b] -4c a, b, c E R A. H = b B. K =|b E R3:a 3b + 2c= useobrin In Problem 35, define T: P2R2 by p(0)] T(p) = Ip(2) Find the standard matrix of the transformation. Show your calculations. (Note: the standard basis for P2 is {1, t, t2}.) A. Find a basis for the kernel of the transformation. Show your calculations. B.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.3: Spanning Sets And Linear Independence

Problem 30EQ

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