7. The following matrix is the augmented matrix for a linear system. 5 0 0 5 -1 0 1 0 3 1 2 0 0 1 4 00000 0 (b) 1 (c) 0 Assume we use ₁, 2, 3,... for variables. (a) 0 Determine if this augmented matrix is in Reduced Row-Echelon form. Determine which variables are free. Solve the corresponding linear system.

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7. The following matrix is the augmented matrix for a linear system.
1 5005
-1
0 0 1 0 3 1
0 0 0 1 4
000000
2
Assume we use ₁, 2, 3, ... for variables.
(b)
(c) (
Determine if this augmented matrix is in Reduced Row-Echelon form.
Determine which variables are free.
) Solve the corresponding linear system.
Transcribed Image Text:7. The following matrix is the augmented matrix for a linear system. 1 5005 -1 0 0 1 0 3 1 0 0 0 1 4 000000 2 Assume we use ₁, 2, 3, ... for variables. (b) (c) ( Determine if this augmented matrix is in Reduced Row-Echelon form. Determine which variables are free. ) Solve the corresponding linear system.
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