Q2 Provide detailed solution with explanation and justification asap to get a upvote Problem 2.a. Let T : P2(R) → M2×2(R) be the linear transformation given byf(4)T(f(«»)) = | ",f(3)S(0)Find bases for the null space N(T') and range R(T) and verify the dimension theorem.b. Let W1 and W2 be subspaces of a vector space V, and dim(W1)dim(W1 N W2) < m. (You don't need to prove that Wi N W2 is a subspace of V)= n, dim(W2) = m, where n > m. Prove thatCS Scanned with CamScanner

We prove rank nullity theorem. And we know that, For any subspace W1 and W2, W1∩W2⊂W2.

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 55EQ

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