# Tagged Questions

Question about determinants, computation or theory. If $E$ is a vector space of dimension $d$, then we can compute the determinant of a $d$-uple $(v_1,\ldots,v_d)$ with respect to a basis.

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### What is the number of $n \times n$ binary matrices $A$ such that $\det(A) = \text{perm}(A)$?

Recall that the permanent is the 'positive analog' of the determinant whereby the signs in the cofactor expansion process are taken as positive. That is, the permanent is the immanant corresponding to ...
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### Determinant of $2 \times 2$ matrix such that $A = A^{-1}$

Let $A$ be a $2 \times 2$ matrix such that $A = A^{-1}$. The value of $\operatorname{det} (A)$ can be: $\operatorname{det} (A)=-2$ $\operatorname{det} (A)=-1$ $\operatorname{det} (A)=0$ ...
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### pivot formula for determinant

This is my textbook what's the name of this formula? I don't understand ifthe diagonal entries are pivots which require the leading entry to be 1, but matrix U is just echelon form rather than ...
If have a matrix $A$ that all I know about is its size and what its determinant is? For example a $4\times4$ matrix with a determinant of $3$. How can I find the determinant of the cofactor matrix ...