Solve the system of linear equations, using the Gauss-Jordan elimination method.

Question

Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.)

5

(x1, x2, x3, x4) = ( )

2x1 + 6x2 5x3 = 25 x1 + 3x2 + x3 + 7x4 = 5 3x1 + 9x2 x3 + 13x4 =

5

Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) = 25 x1 3x2 X3 7x4-5 3x4 = 5 2x1 + 6x2 - 5x3 3x1 +9x2-x3 + 1 (X1, X2, X3, X4) = Need Help? Read It

Explanation / Answer

Your matrix

Find the pivot in the 1st column and swap the 2nd and the 1st rows

Eliminate the 1st column

Make the pivot in the 3rd column by dividing the 2nd row by -7

Eliminate the 3rd column

Solution set:

x1 = - 3s - 5t

x2 = s

x3 = -5 - 2t

x4 = t

(x1, x2, x3, x4) = (- 3s - 5t, s, -5 - 2t, t) (answer)

X1 X2 X3 X4 b 1 2 6 -5 0 25 2 1 3 1 7 -5 3 3 9 -1 13 5

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