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Invertible matrix

  • Thread starter magnifik
  • Start date
  • #1
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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?
 

Answers and Replies

  • #2
Hurkyl
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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?
 
  • #3
360
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since it isn't invertible, i suppose there are no values for which b and c are invertible
 
  • #4
Hurkyl
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That sounds right.
 

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