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somanyquestions i have to use matrices to solve the system of equations using gauss-jordan elimination
my system of equations is:
2x -y +3z =24
2y -z =14
7x -5y =6
my matrix would be
2 -1 3 24
0 2 -1 14
7 -5 0 6
can i have a walk through of this equations and an explanation on what to do? this is what i have so far:
i want to get this matrix into reduced row-echelon form, so first i put it into row-echelon form then reduce.
-i times Row 1 by 1/2 so i would end up with:
1 -1/2 3/2 12
0 2 -1 14
7 -5 0 6
-then i times Row 2 by 1/2 and end up with:
1 -1/2 3/2 12
0 1 -1/2 7
7 -5 0 6
-then i times Row 1 by -7 and add it to Row 3 and end up with:
1 -1/2 3/2 12
0 2 -1 14
0 -1.5 -10.5 -78
what would i do to get the leading 1 of row 3? am i doing this right? are my answers right so far? can anyone give me a walkthrough through the rest of the problem? sorry, my spacing isn't working.