Prove or Disprove. Claim: For any 2x2 matrix, the product of its eigenvalues is equal to its determinant. To prove a claim you must show that it hols...

Prove or Disprove.

Claim: For any 2x2 matrix, the product of its eigenvalues is equal to its determinant.

To prove a claim you must show that it hols in all cases.

To disprove a claim, you only need to show that it is false in one case. Find a counter example.