Suppose A is equal to the following: A= 1 3 2 -1 2 -6 2 2 a) Determine N(A), the nullspace of A. b) Show that the vectors in your answer in part (a) span N(A) and are linearly independent. c) Do the vectors in your answer to part (a) span R4?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 22EQ
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Suppose A is equal to the following:

A=

1 3 2 -1
2 -6 2 2

a) Determine N(A), the nullspace of A.
b) Show that the vectors in your answer in part (a) span N(A) and are linearly independent.
c) Do the vectors in your answer to part (a) span R4?

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