Please help with the steps 2 1 point The following system of

Please help, with the steps

2. [1 point] The following system of linear equations has infinitely many solutions. Perform Gauss-Jordan Elimination on it, then parameterize the solutions. -3x1 + 12x2 - 4x3 + 10x4 = 6 4x1 - 16x2 + x3 + 4x4 = 5

Solution

Divide row1 by -3
1   -4   4/3   -10/3   -2
4   -16   1   4   5

Add (-4 * row1) to row2
1   -4   4/3   -10/3   -2
0   0   -13/3   52/3   13

Divide row2 by -13/3
1   -4   4/3   -10/3   -2
0   0   1   -4   -3

Add (-4/3 * row2) to row1
1   -4   0   2   2
0   0   1   -4   -3

Now rewrite the eqns

x1-4x2+2x4=2
x3-4x4=-3

Let x4=s and solve the second eqn

x3=-3+4s

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Let x2=t and solve for the first eqn.

x1-4t+2s=2
x1=2+4t-2s

So the solution will be the following.

{x1,x2,x3,x4}={2+4t-2s, t, -3+4s, s}