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4-6 - 4-6 Matrix Equations Consider the system of equations...

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4-6 Matrix Equations Consider the system of equations: x 1 - x 2 + x 3 = 1 2x 2 - x 3 = 1 2x 1 + 3x 2 = 1 We can write this equation in matrix form , as follows: let A = - - 0 3 2 1 2 0 1 1 1 , X = 3 2 1 x x x , B = 1 1 1 now our matrix equation is: AX = B if A -1 exists we can do some algebra with our matrix equation much like solving ordinary linear equations:
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