New posts in linear-algebra

Intuition of Wronskian determinant and linear independence

What is the maximum number of quadrants in $n$ dimensional space that a $k$ dimensional hyperplane can pass through?

For every *non-square* matrix prove that $AA^t$ or/and $A^tA$ is singular

On an operator norm inequality for two triangular matrices

Range of A and null space of the transpose of A

Is every square traceless matrix unitarily similar to a zero-diagonal matrix?

Expressing the product Ax as a linear combination of the column vectors of A

Show that $PSL(3,4)$ has no element of order $15$.

What is the significance of theoretical linear algebra in machine learning/computer vision research?

If $f: \mathbb{C} \to \mathbb{C}$ is analytic and not linear, then $z, f(z), f(f(z)), \dots$ are linearly independent functions over $\mathbb{C}.$

Find the value of k, (if any), for which the system below has unique, infinite or no solution. [duplicate]

Intersection of kernels and linear dependence of linear maps

Cholesky decomposition in positive semi-definite matrix

Positive definiteness of Fubini-Study metric

Does the shift operator on $\ell^2(\mathbb{Z})$ have a logarithm?

Quaternion integration

Prerequisites for Linear Algebra Done Right by Sheldon Axler.

A finite graph G is $d$-regular if, and only if, its adjacency matrix has the eigenvalue $λ = d$

Connection between algebraic multiplicity and dimension of generalized eigenspace

Equivalence of skew-symmetric matrices