How do you solve using gaussian elimination or gauss-jordan elimination, #[(2,-1,3,|,24),(0,2,-1,|, 14),(7,-5,0,|, 6)]#?
1 Answer
Given:
Swap Row 3 with Row 1:
We want position #(1,1) to be 1, therefore we multiply Row 2 by -3, add it to Row 1 and and put the result in Row 1:
We want #(3,1) to be 0 therefore we multiply Row 1 by -2, add it to Row 3 and put the result in Row_3 :
Divide Row 3 by 3:
We want position
We want postion #(3,2) to be 0, so we multiply Row 2 by -2, add to Row 3 and put the result in Row 3:
Divide Row 3 by -15:
I shall only use the short notation from here to the end.
We have a square identity matrix on the left, therefore, the solution is in the column vector on the right: