How many free variables does each augmented matrix have? -10 4 a. Three [1 0 0 -5 10] 1 -7 b. None 0 0 [0 0 [1 0 -31 c. Two 1 1 -3 d. Two

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 50EQ
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How many free variables does each augmented matrix have?
[1 -10 4 | 6]
а.
Three
0 0
0 0 -5
0 1
[1
10]
-7
b.
None
0 0
-31
0 1
[0 0
[1 0
C.
Two
3
[1
3 | 97
d. Two
0 0
Transcribed Image Text:How many free variables does each augmented matrix have? [1 -10 4 | 6] а. Three 0 0 0 0 -5 0 1 [1 10] -7 b. None 0 0 -31 0 1 [0 0 [1 0 C. Two 3 [1 3 | 97 d. Two 0 0
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