3. Consider the system of linear equations
3x1 + x2 + 4x3 − x4 = 7
2x1 − 2x2 − x3 + 2x4 = 1
5x1 + 7x2 + 14x3 − 8x4 = 20
x1 + 3x2 + 2x3 + 4x4 = −4
b) Solve this linear system applying Gaussian forward elimination with partial pivoting and back ward substitution, by hand. In (b) use fractions throughout your calculations.
(i think x1 = 1, x2= -1, x3 =1, x4=-1, but i am not sure)
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