Example
Solve
x + y + z = 6
2y + 5z = −4
2x + 5y − z = 27
Table of Contents
Change into matrix form AX = B

where
- A is the 3×3 matrix of x, y, z coefficients
- X is x, y, z
- B is 27, 6, −4
Then find the value of x, y, z
X = A-1B
A-1 =
So
X = A-1B =
Solution
The solution is
x = 5
y = 3
z = -2