Linear Algebra - Matrix with given eigenvalues

HallsofIvy

??? Why do the diagonal matrices
[tex]\begin{bmatrix}1 & 0 \\ 0 & 2\end{bmatrix}[/tex]
and
[tex]\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3\end{bmatrix}[/tex]
NOT count as "all entries postive"?

HallsofIvy Recognitions: Gold Member Science Advisor Staff Emeritus	??? Why do the diagonal matrices [tex]\begin{bmatrix}1 & 0 \\ 0 & 2\end{bmatrix}[/tex] and [tex]\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3\end{bmatrix}[/tex] NOT count as "all entries postive"?