Solve the system of equations ` 2x+3y-3z=0`, ` 3x-3y+z=0` and `3x-2y-3z=0`

Explanation

We have, `2x+3y-3z=0`
`3x-3y+z=0`
` 3x-2y-3z=0`
the given system of equations in the matrix form are written as below.
`[(2,3,-3),(3,-3,1),(3,-2,-3)][(,x),(,y),(,z)]=[(,0),(,0),(,0)]`
AX=O
where `A=[(2,3,-3),(3,-3,1),(3,-2,-3)],X=[(,x),(,y),(,z)]andO=[(,0),(,0),(,0)]`
`therefore " " |A|=2(9+2)-3(-9-3)-3(-6+9)`
`=22+36-949!=0`
Hence, the equations have a unique trival solution x =0, y=0 and z=0 only.