SOLUTION: Step by step solution using Gauss method of this linear system: {{{ x - 4y = 11 }}} {{{ 2x + y = 4 }}} {{{ -x - 3y + z = 3 }}} {{{ ( matrix( 3, 4, 1, -4, 0, 11,

Algebra ->  Matrices-and-determiminant -> SOLUTION: Step by step solution using Gauss method of this linear system: {{{ x - 4y = 11 }}} {{{ 2x + y = 4 }}} {{{ -x - 3y + z = 3 }}} {{{ ( matrix( 3, 4, 1, -4, 0, 11,       Log On


   

Question 1092399: Step by step solution using Gauss method of this linear system:
+x+-+4y+=+11+
+2x+%2B+y+=+4+
+-x+-+3y+%2B+z+=+3+

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+x+-+4y+=+11+
+2x+%2B+y+=+4+
+-x+-+3y+%2B+z+=+3+


Find the pivot in the 1st column in the 1st row
%28matrix%283%2C4%2C+1%2C-4%2C+0%2C11%2C2%2C1%2C+0%2C4%2C-1%2C-3%2C1%2C3%29%29
Eliminate the 1st column
%28matrix%283%2C4%2C+1%2C-4%2C0%2C11%2C++0%2C9%2C0%2C-18%2C+0%2C-7%2C1%2C14%29%29
Make the pivot in the 2nd column by dividing the 2nd row by 9

%28matrix%283%2C4%2C1%2C-4%2C0%2C11%2C0%2C1%2C0%09%2C-2%2C0%2C-7%2C1%2C14%29%29

Eliminate the 2nd column

%28matrix%283%2C4%2C1%2C0%2C0%2C3%2C0%2C1%2C0%2C-2%2C0%2C0%2C1%2C0%29%29
Find the pivot in the 3rd column in the 3rd row
%28matrix%283%2C4%2C1%2C0%2C0%2C3%2C0%2C1%2C0%2C-2%2C0%2C0%2C1%2C0%29%29
Solution set:
x%5B1%5D+=+3
x%5B2%5D+=+-2
x%5B3%5D+=+0