The following matrix is obtained from a system of
equations
1 0 6 5
0 1 -4 3
0 0 2 -6 The solution to the system is
My answer is no solution after using Excel.
thanks for looking at this problem.
No, there is a solution.
[1 0 6 5]
[0 1 -4 3]
[0 0 2 -6]
is the matrix for the system
1x + 0y + 6z = 5
0x + 1y - 4z = 3
0x + 0y + 2z = -6
or
x + 6z = 5
y - 4z = 3
2z = -6
Solve the bottom equation for z
2z = -6
z = -3
Substitute -3 for z in the middle equation
y - 4z = 3
y - 4(-3) = 3
y + 12 = 3
y = -9
Substitute in the first equation:
x + 6z = 5
x + 6(-3) = 5
x - 18 = 5
x = 23
The solution is (x, y, z) = (23, -9, -3)
Edwin