SOLUTION: reduce the matrix in the form of low level: 1 -2 3 -1 2 -1 2 2 3 1 2 3 the answer is supposed to be 1 0 0 15/7 0 1 0 -4/7 0 0 1 -10/7

Algebra ->  Matrices-and-determiminant -> SOLUTION: reduce the matrix in the form of low level: 1 -2 3 -1 2 -1 2 2 3 1 2 3 the answer is supposed to be 1 0 0 15/7 0 1 0 -4/7 0 0 1 -10/7       Log On


   

Question 549621: reduce the matrix in the form of low level:
1 -2 3 -1
2 -1 2 2
3 1 2 3
the answer is supposed to be
1 0 0 15/7
0 1 0 -4/7
0 0 1 -10/7


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
%28matrix%283%2C4%2C1%2C-2%2C3%2C-1%2C2%2C-1%2C2%2C2%2C3%2C1%2C2%2C3%29%29 Add (-2) times row 1 to row 2, (-3) times row 1 to row 3 to get
%28matrix%283%2C4%2C1%2C-2%2C3%2C-1%2C0%2C3%2C-4%2C4%2C0%2C7%2C-7%2C6%29%29 Combine 3 times row 3 plus (-7) times row 2 and replace row 3 with the result.
%28matrix%283%2C4%2C1%2C-2%2C3%2C-1%2C0%2C3%2C-4%2C4%2C0%2C0%2C7%2C-10%29%29 Divide row 3 by 7
%28matrix%283%2C4%2C1%2C-2%2C3%2C-1%2C0%2C3%2C-4%2C4%2C0%2C0%2C1%2C-10%2F7%29%29 Add 4 times row 3 to row 2
%28matrix%283%2C4%2C1%2C-2%2C3%2C-1%2C0%2C3%2C0%2C-12%2F7%2C0%2C0%2C1%2C-10%2F7%29%29 Divide row 2 by 3
%28matrix%283%2C4%2C1%2C-2%2C3%2C-1%2C0%2C1%2C0%2C-4%2F7%2C0%2C0%2C1%2C-10%2F7%29%29 Add 2 times row 2 and (-3) times row 3 to row 1
%28matrix%283%2C4%2C1%2C0%2C0%2C15%2F7%2C0%2C1%2C0%2C-4%2F7%2C0%2C0%2C1%2C-10%2F7%29%29