New posts in linear-algebra

The rank and eigenvalues of the operator $T(M) = AM - MA$ on the space of matrices

linear-algebra matrices eigenvalues-eigenvectors

Is it possible to decompose a matrix as the product of two vectors?

linear-algebra matrices

What is (fundamentally) a coordinate system ?

linear-algebra geometry vector-spaces 3d coordinate-systems

In a Banach Algebra, can the product of two elements be invertible if we know one of the element is non invertible?

linear-algebra functional-analysis

How to know if vector is in column space of a matrix?

linear-algebra matrices

Prove that the system $A^T A x = A^T b$ always has a solution

linear-algebra systems-of-equations least-squares

What does a symmetric matrix transformation do, geometrically?

Product of positive definite and seminegative definite matrices

linear-algebra matrices numerical-linear-algebra

Singular value decomposition of column & row vectors

linear-algebra numerical-methods

Showing $K[u]$ is a field when $u$ is algebraic over $K$.

linear-algebra abstract-algebra

Signature of Bilinear Form.

linear-algebra symmetric-matrices bilinear-form

Is $y=mx+b$ linear?

Convert a piecewise linear non-convex function into a linear optimisation problem.

linear-algebra optimization linear-programming integers operations-research

Does an eigenspace of a matrix depend continuously on its components?

What is the intuition behind the trace of an endomorphism?

linear-algebra intuition trace

how to find maximal linearly independent subsets

Linear functionals on space of all converges sequences.

linear-algebra functional-analysis

Polynomial Ring with coefficients from another ring

linear-algebra polynomials

Show that trace is a unique linear functional

linear-algebra matrices trace

"Non-linear" algebra

linear-algebra abstract-algebra vector-spaces