<PRE><B>Question 1201634</B>
.
Solve the given linear system by Gauss-Jordan reduction.
2x-y+z=3
x-3y+z=4
-5x -2z=3
~~~~~~~~~~~~~~~~~


&lt;pre&gt;
Your matrix

	X1	X2	X3	b
1	2	-1	1	3
2	1	-3	1	4
3	-5	0	-2	3

Find the pivot in the 1st column and swap the 2nd and the 1st rows

	X1	X2	X3	b
1	1	-3	1	4
2	2	-1	1	3
3	-5	0	-2	3

Eliminate the 1st column

	X1	X2	X3	b
1	1	-3	1	4
2	0	5	-1	-5
3	0	-15	3	23

Make the pivot in the 2nd column by dividing the 2nd row by 5

	X1	X2	X3	b
1	1	-3	1	4
2	0	1	-1/5	-1
3	0	-15	3	23

Eliminate the 2nd column

X1	X2	X3	b
1	1	0	2/5	1
2	0	1	-1/5	-1
3	0	0	0	8

Solution set:

The system is inconsistent.
&lt;/pre&gt;

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Solved, answered and explained.


Thanks to the free of charge online calculator  https://matrix.reshish.com 

which did this job for me (and for you).



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