7. Let S be the set S = a) Show that S spans R3 and find a basis for R3 contained in S. b) What are the coordinates of the vector v = |1 with respect to the basis found in a) ?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 33EQ
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7. Let S be the set
S =
a) Show that S spans R3 and find a basis for R³ contained in S.
b) What are the coordinates of the vector v 1 with respect to the basis found in a) ?
Transcribed Image Text:7. Let S be the set S = a) Show that S spans R3 and find a basis for R³ contained in S. b) What are the coordinates of the vector v 1 with respect to the basis found in a) ?
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