-6 -24 Let A = -5 40 -3 24 We want to determine if the columns of A span R³. 6

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 9AEXP
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-6 -24
Let A =
-5
40
-3
24
We want to determine if the columns of A span R.
To check this we add
times the first row to the second.
We then add
times the first row to the third.
We then add
times the new second row to the new third row.
We conclude that
A. The columns of A do span R.
B. The columns of A do not span R³.
C. We cannot tell if the columns of A span R³.
Transcribed Image Text:-6 -24 Let A = -5 40 -3 24 We want to determine if the columns of A span R. To check this we add times the first row to the second. We then add times the first row to the third. We then add times the new second row to the new third row. We conclude that A. The columns of A do span R. B. The columns of A do not span R³. C. We cannot tell if the columns of A span R³.
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