For each system of linear equations with coefficient matrix A: (1) Show that A is invertible. (2) Compute A-. (3) -Use A- to solve the system. (a) S x1 + 3x2 = 4 (2x, + 5x2 = 3 (b)- ( x1 + 2x, – x, = 5 X1 + X2 + x3 = 1 2x, - 2x2 + x, = 4

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For each system of linear equations with coefficient matrix A:
(1) Show that A is invertible.
(2) Compute A-.
(3) -Use A- to solve the system.
(a) S x1 + 3x2 = 4
(2x, + 5x2 = 3
(b)- ( x1 + 2x, – x, = 5
X1 + X2 + x3 = 1
2x, - 2x2 + x, = 4
Transcribed Image Text:For each system of linear equations with coefficient matrix A: (1) Show that A is invertible. (2) Compute A-. (3) -Use A- to solve the system. (a) S x1 + 3x2 = 4 (2x, + 5x2 = 3 (b)- ( x1 + 2x, – x, = 5 X1 + X2 + x3 = 1 2x, - 2x2 + x, = 4
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