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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?