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1. Let S = {(1, 0, -1, -1),(1, -1, 1, 2), (5, 2, -9, -11)} < R¹ a) Show that S is linearly dependent over R. b) Determine a basis of Span (S) and dim (Span (S)).

1. Let S = {(1, 0, -1, -1),(1, -1, 1, 2), (5, 2, -9, -11)} < R¹ a) Show that S is linearly dependent over R. b) Determine a basis of Span (S) and dim (Span (S)).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 22EQ
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c) Find a basis of R4 that contained the basis of span S obtained from part b

1. Let S = {(1, 0, -1, -1), (1, -1, 1, 2), (5, 2, -9, -11)} CR¹ a) Show that S is linearly dependent over R. b) Determine a basis of Span (S) and dim (Span (S)).
Transcribed Image Text:1. Let S = {(1, 0, -1, -1), (1, -1, 1, 2), (5, 2, -9, -11)} CR¹ a) Show that S is linearly dependent over R. b) Determine a basis of Span (S) and dim (Span (S)).
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