Solve the system of linear equations using the gauss-jordan elimination method. 2x1 − x2 + 3x3 = −10 x1 − 2x2 + x3 = −3 x1 − 5x2 + 2x3 = −7 (x1, x2, x3) =

The solution is:

Step-by-step explanation:

The Gauss-Jordan elimination method is done by transforming the system's augmented matrix into reduced row-echelon form by means of row operations.

We have the following system:

This system has the following augmented matrix:

To make the reductions easier, i am going to swap the first two lines. So

Now the matrix is:

Now we reduce the first row, doing the following operations

So, the matrix is:

Now we divide L2 by 3

So we have

Now we have:

So, now we have our row reduced matrix:

We start from the bottom line, where we have:

At second line:

At the first line

The solution is:

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step-by-step explanation: