So I'm reading through my linear algebra textbook to review for my final, and happened upon this statement:
The determinant of a matrix with positive entries must be positive.
Off the top of my head, I can think of an exception to this:
$A=\begin{bmatrix}1 & 2\\8 & 3\end{bmatrix}$
where $\det A= (1\cdot 3) - (2\cdot 8) = 3 - 16 = -13$
Am I misinterpreting what I am reading, or is this a misprint?
The book is Elementary Linear Algebra, 2nd ed. by Spence, Insel, Friedberg