271.

Use matrix method to solve the following system of equations:
2x – 3y + 3z = 1
2x+ 2y+ 3z = 2
3x – 2y + 2z = 3

The given equations are
2x – 3y + 3z = 1
2x+ 2y+ 3z = 2
3x – 2y + 2z = 3
These equations can be written as
                       

or    AX = B where 
 
   
Co-factors of the elements of first row of | A | are

i.e., 10, 5, – 10 respectively
Co-factors of the elements of second row of | A | are

i.e., 0, – 5, – 5 respectively
 Co-factors of the elements of third row of | A | are

i.e., 15, 0, 10 respectively