Invertible Matrix: Find Values of p & q

[magnifik]

for what values of p and q is this matrix invertible?

this is all one 3x3 matrix. sorry for ugly formatting.
[0 1 b]
|-1 0 c|
[-b -c 0]

i found the determinant to be 0 + (-bc) + bc - 0 - 0 - 0 = -bc + bc = 0
so i came the conclusion that the matrix is singular or not invertible. is this correct, or am i missing something?

 

[Hurkyl]

i found the determinant to be 0 + (-bc) + bc - 0 - 0 - 0 = -bc + bc = 0
so i came the conclusion that the matrix is singular or not invertible. is this correct, or am i missing something?

This sounds correct. So for what values of b and c is the matrix invertible?

 

[magnifik]

since it isn't invertible, i suppose there are no values for which b and c are invertible

 

[Hurkyl]

That sounds right.