Using matrix method, solve the system of equations 3x + 2y – 2z = 3, x + 2y + 3z = 6, 2x – y + z = 2.

Answer:

Given equations are:

\[3x~+\text{ }2y-\text{ }2z~=\text{ }3\]

\[x~+\text{ }2y~+\text{ }3z~=\text{ }6\]and

\[2x~-y~+~z~=\text{ }2\]

Or,

\[AX\text{ }=\text{ }B\]