Need some help with linear algebra 2. Consider the linear transformation T : P2(R) → M2×2(R) defined byao + 2a212а1 2а0 + 4а2ао — За,T(a2x² + a1x + ao)| 4aoFind the matrix for T, [T, whereB = {1, x, x²} C =are bases for P2 (R) and M2x2(IR) respectively. Find bases for Ker(T) and Rng(T). Is Tone-to-one, onto, neither, or both?

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Consider the linear transformation T : P2(R) → M2x2(R) defined by ао + 2а2 ao – 3a1 T(a2x² + a1x + ao) |4ao 4ао — 12a1 2ao + 4a2 - Find the matrix for T, [T], where [1 0] To 1 B = {1, x, x²} C = 0 0 1 0 are bases for P2(R) and M2×2(R) respectively. Find bases for Ker(T) and Rng(T). Is T one-to-one, onto, neither, or both?

Consider the linear transformation T : P2(R) → M2x2(R) defined by ао + 2а2 ao – 3a1 T(a2x² + a1x + ao) |4ao 4ао — 12a1 2ao + 4a2 - Find the matrix for T, [T], where [1 0] To 1 B = {1, x, x²} C = 0 0 1 0 are bases for P2(R) and M2×2(R) respectively. Find bases for Ker(T) and Rng(T). Is T one-to-one, onto, neither, or both?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 23EQ

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