New posts in linear-algebra

Showing that $\{ 1, \cos t, \cos^2 t, \dots, \cos^6 t \}$ is a linearly independent set

the determinant function is an open function?

Lipschitz Continuity of Linear Map Between Finite Dimensional Vector Spaces

linear-algebra real-analysis

Relation between Interior Product, Inner Product, Exterior Product, Outer Product..

linear-algebra matrices terminology vector-spaces

Continuity of an "SVD" operator

calculus linear-algebra continuity matrix-calculus svd

There exists $C\neq0$ with $CA=BC$ iff $A$ and $B$ have a common eigenvalue

Is $O_n$ isomorphic to $SO_n \times \{\pm I\}$?

linear-algebra abstract-algebra group-theory orthogonal-matrices

Proof for real Jordan canonical form

linear-algebra matrices jordan-normal-form

Drawing a tetrahedron from a parellelepiped to convince myself it is 1/6th the volume,

linear-algebra geometry determinant volume

$A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$

linear-algebra matrices eigenvalues-eigenvectors diagonalization

Non-degenerate symmetric bilinear form; dimension formulae.

linear-algebra vector-spaces bilinear-form

Exponential of matrix with negative entries only on the diagonal

Algebraic Basis vs Hilbert basis

linear-algebra real-analysis

Show that a Hilbert space with two inner products has a basis that is orthogonal with respect to both inner products

linear-algebra hilbert-spaces

Equation of plane containing two vectors

Proving Holder's inequality for Schatten norms

linear-algebra inequality normed-spaces

This algorithm will find a basis for the span of some vectors. How/why does it work?

Show that norm of matrix $A$ is given by the square root of the largest eigenvalue of $A^tA$

linear-algebra matrices eigenvalues-eigenvectors normed-spaces

If the covariance matrix is $\Sigma$, the covariance after projecting in $u$ is $u^T \Sigma u$. Why?

linear-algebra statistics

Singular Value Decomposition of Rank 1 matrix

linear-algebra matrices svd