1. solve the following system of equations by performing gaussian elimination on the corresponding augmented matrix. x1 – 2x2 + x3 + 4x4 – 25 = 0 -2x1 + 4x2 + x3 – 224 – 45 = 0 3x1 – 6x2 + 8x3 + 4x4 – 13x5 = 0) 8x1 – 16x2 + 7x3 + 12x4 – 6x 5 = 0

The system to solve is

and the augmented matrix of the system is

Using row operations we obtain the echelon form of the matrix, that is,

Now, we use backward substitution:

1.

2.

3.

4.

The system has infinite solutions and the set of solutions is:

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step-by-step explanation: