-3 Are the vectors -3 -4 -8 and linearly independent? -6 3 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. -31 -3 -4 + 3 1 + -3 3 -21 -8 -6 +

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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Chapter 3.2 Question 9

-3
-8
Are the vectors
and
linearly independent?
-6
-3
3
3
4
linearly dependent
If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they
are linearly independent, find the only scalars that will make the equation below true.
37
-3
+
-3
-4
+
3
3
-27
-8
-6
+
Transcribed Image Text:-3 -8 Are the vectors and linearly independent? -6 -3 3 3 4 linearly dependent If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true. 37 -3 + -3 -4 + 3 3 -27 -8 -6 +
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