3 problems Problem 3. For each of the following subsets S of F2. saywether 5 is linearly independent, and find a bosis forSpan (s).a. S=(1b. S=10011O1111non-zero nows, and2.) theO11O100H₁non-zero nowsOHint: Form ar matrix it with the elements of S as rows.(Thesecows con bein anyorder.) Do baussian eliminationon A to form a matrix A. Standard linear algebra (whichyou may appeal to here tellthat1.STILlinearly independent if and only if A contains noHOOOof A'are a basis for Span (S)1

Answered: Image /qna-images/answer/89c3de50-99f3-4671-94de-26925fa11783.jpg

2, say Problem 3. For each of the following subsets S of F2 wether 5 is linearly independent, and find a bosis for Spon (s). a. S= b. S= 11 O O 1 1 O 1 1 non-zero nows, and 2. the 1 O 1 1 1 O 1 A} non-zero nows 1 1 O 1 1 1 O O Hint: Form an matrix A with the elements of Sas rows. (These cows can be in any order) Do baussian elimination on A to form a matrix A. Standard linear algebra (which you may appeal to here) tell 05 us that linearly independent of and only if A' contains no of t' are a basis for Span (S) O

2, say Problem 3. For each of the following subsets S of F2 wether 5 is linearly independent, and find a bosis for Spon (s). a. S= b. S= 11 O O 1 1 O 1 1 non-zero nows, and 2. the 1 O 1 1 1 O 1 A} non-zero nows 1 1 O 1 1 1 O O Hint: Form an matrix A with the elements of Sas rows. (These cows can be in any order) Do baussian elimination on A to form a matrix A. Standard linear algebra (which you may appeal to here) tell 05 us that linearly independent of and only if A' contains no of t' are a basis for Span (S) O

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 8AEXP

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