Difference between revisions of "Talk:Determinant"
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== 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) | ||
Revision as of 18:36, May 2, 2010
Yeah, I'm going to retool this article. Doesn't ever give the way a matrix is calculated (cases listed are special cases)
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. Example:
<math>\begin{pmatrix} 1 & 0 & 0 \\ 0 & 0 & 2 \\ 0 & -2 & 0 \end{pmatrix}</math>.
- Eigenvalues: 1
- Determinant: 4
FrankC aka ComedyFan 14:29, 2 May 2010 (EDT)