Determine whether the following sets are bases for R³. If the set is not a basis, determine which ones are linearly independent and which ones span R. Justify your answers. 1 3 (a) (b)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine whether the following sets are bases for R³. If the set is not a basis,
determine which ones are linearly independent and which ones span R. Justify
your answers.
1
3
(a)
(b)
Transcribed Image Text:Determine whether the following sets are bases for R³. If the set is not a basis, determine which ones are linearly independent and which ones span R. Justify your answers. 1 3 (a) (b)
Given A and w below, determine if w is in Col A. Is w in Nul A?
10
-8 -2
-2]
-
2
2
-2
2
A =
1
-1
1
1
2
2
-
Transcribed Image Text:Given A and w below, determine if w is in Col A. Is w in Nul A? 10 -8 -2 -2] - 2 2 -2 2 A = 1 -1 1 1 2 2 -
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