Please show work with steps and solution for parts d,e! LetA =10 12 2(a) Find an ordered basis for ran(A)(b) Perform the Gram-Schmidt algorithm on the basis you got in (a) to get an orthonormalbasis for ran(A)(c) Find a basis for ker(A)(d) Extend the basis you found in (a) to a basis B for R³(e) Find Pe→.

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Answered: Let A = 10 1 2 2 (a) Find an ordered…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.4: Orthogonal Diagonalization Of Symmetric Matrices

Problem 27EQ

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Let A = 10 1 2 2 (a) Find an ordered basis for ran(A) (b) Perform the Gram-Schmidt algorithm on the basis you got in (a) to get an orthonormal basis for ran(A) (c) Find a basis for ker(A) (d) Extend the basis you found in (a) to a basis B for R³ (e) Find Pe→.