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→The determinant is equal to the product of the eigenvalues of a matrix.: adding example
== The determinant is equal to the product of the eigenvalues of a matrix. ==
== The determinant is equal to the product of the eigenvalues of a matrix. ==
That isn't true, espcecially as in the definition of [[eigenvalue]], you are talking only about real vector spaces.
That isn't true, espcecially as in the definition of [[eigenvalue]], you are talking only about real vector spaces. Example:
<math>\begin{pmatrix}
1 & 0 & 0 \\
0 & 0 & 2 \\
0 & -2 & 0
\end{pmatrix}</math>.
*Eigenvalues: 1
*Determinant: 4
[[User:FrankC|FrankC aka ComedyFan]] 14:29, 2 May 2010 (EDT)
[[User:FrankC|FrankC aka ComedyFan]] 14:29, 2 May 2010 (EDT)