Consider the following linear system: 3x1 + 3x2 - 3x3 + x4 + x5 = 7 3x1

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Consider the following linear system:
3x1 + 3x2 - 3x3 + x4 + x5 = 7
3x1 + 2x3 + 3x5 = - 2
2x1 + 3x2 - 4x4 = 3
x3 + x4 + x5 = 5.
(a) Find the coefficient matrix.
(b) Write the linear system in matrix form.
(c) Find the augmented matrix.
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