Determine whether or not the following sets of 2 x 2 matrices are linearly independent. 1 -2 -2 1 -2 -2 (a) -2 1 1 -2 1 This set is 2 -4 -8 (b) -2 -4 8 16
Determine whether or not the following sets of 2 x 2 matrices are linearly independent. 1 -2 -2 1 -2 -2 (a) -2 1 1 -2 1 This set is 2 -4 -8 (b) -2 -4 8 16
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 3SE: Can you explain whether a 2×2 matrix with an entire row of zeros can have an inverse?
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Transcribed Image Text:Determine whether or not the following sets of 2 x 2 matrices are linearly independent.
1
-2
-2
1
-2
(a)
1
-2
1
This set is
1
2
-4
(b)
-2
8
16
This set is
2
(c)
This set is
)}
1
2
-3
2
17 -31
(d)
-2
-4
16 16
10
e?
This set is
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