Question 1: Consider the QR factorization of A, where 0 2 01 A = 1 0 0, and Q -6 0 3 0 a) Find the matrix R. b) Find the singular values of A. c) Find condition number of A. 0 - 1 0 1 0 0 0 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Question 1: Consider the QR factorization of A, where
г0
A = 1
20₁
0 0, and Q
003
a) Find the matrix R.
b) Find the singular values of A.
c) Find condition number of A.
1. and = [
1
0₁
= 1 0 0
00
1
Transcribed Image Text:Question 1: Consider the QR factorization of A, where г0 A = 1 20₁ 0 0, and Q 003 a) Find the matrix R. b) Find the singular values of A. c) Find condition number of A. 1. and = [ 1 0₁ = 1 0 0 00 1
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