What is the ratio of matrices which have full rank to total number of matrices over a finite field.
27865
What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
152869
Rank of circulant matrix with $k$ ones per row
37249
Suppose $A$ is a 4x4 matrix such that $\det(A)=\frac{1}{64}$
15202
the root of $N$th transpose matrix
94639
Proof that the rank of a skew-symmetric matrix is at least $2$
120937
Matrices that commute with all matrices
128646
$S$ is a $3\times 3$ real matrices. Then $S$ contains which matrices
1799
How many k-dimensional subspaces there are in n-dimensional vector space over $\mathbb F_p$?
51770
Number of elements in a finite field extension for finite fields
12213
Similarity of real matrices over $\mathbb{C}$
123847
Cardinality of $GL_n(K)$ when $K$ is finite
77137
The rank of Jacobian matrix at a point of affine variety is independent of choice of generators
48660
Proof that determinant rank equals row/column rank
33894
How many chains are there in a finite power set?
63260
Matrices whose Linear Combinations are All Singular
155451
Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$
34372
Are $10\times 10$ matrices spanned by powers of a single matrix?