2. Problem 2 Let A=2111-3 0-1 −1 11 0 -13-4-0-12W = col(A), and x =(a) Find Projw (x).(b) Construct bases for W and Null(AT) and verify that every vector in basis for W isorthogonal to every vector in a basis in Null(AT).(c) Use the Gram-Schmidt process to find an orthogonal basis for W.

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Answered: orthogonal to every vector in a basis…

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 29EQ

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(2) Let 1 А — 3 5 1 4 -2 Find an explicit description of Nul(A) by listing vectors that span the null space. Find a basis of Nul(A).
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orthogonal to every vector in a basis in Null(A¹). (c) Use the Gram-Schmidt process to find an orthogonal basis for W.