New posts in linear-algebra

Tensor products over field do not commute with inverse limits?

linear-algebra examples-counterexamples tensor-products

The transpose of a linear injection is surjective.

How to show that the rotation map $f$ is not a gradient of a convex function?

real-analysis calculus linear-algebra analysis

degree of nilpotent matrix

linear-algebra matrices nilpotence

is it true every left inverse of a matrix is also right inverse of it?

linear-algebra matrices inverse

If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.

linear-algebra vector-spaces linear-transformations

On the generators of the Modular Group

linear-algebra group-theory

Nonsingularity of Euclidean distance matrix

linear-algebra metric-spaces

Is there a formula for the determinant of the wedge product of two matrices?

linear-algebra abstract-algebra determinant exterior-algebra

About the square of orthogonal matrices [closed]

Is every invertible matrix a change of basis matrix?

linear-algebra matrices inverse

Compute the determinant of order n + 1 (n ≥ 2)

linear-algebra matrices determinant

The essence of Gaussian elimination

linear-algebra gaussian-elimination

For which sets of parameters will this system of equations have no solution?

linear-algebra systems-of-equations

How to determine if a point lies on the same side of the plane that origin does?

linear-algebra analytic-geometry

Characteristic polynomial of the matrix with zeros on the diagonal and ones elsewhere

linear-algebra matrices

Why is the optimal solution to $ \min\limits_{S \in \mathbb S^{n}_{+}} -\log(\det(S))+\text{trace}(\Sigma S)$ equal to $\Sigma^{-1}$

real-analysis linear-algebra matrices optimization

If $A$ is a $n\times n$ matrix that satisfies $A^2=A$, then prove that $\operatorname{rank}(A)+\operatorname{rank}(I-A)=n$ [closed]

linear-algebra matrices

Dimension of R over Q without cardinality argument. [duplicate]

linear-algebra vector-spaces irrational-numbers real-numbers

Why can a matrix without a full rank not be invertible?

linear-algebra matrices determinant