New posts in linear-algebra

Winning strategy in $(2n+1) \times (2n+1)$ matrix game.

linear-algebra determinant game-theory combinatorial-game-theory

Solving the quadratic equation for matrices

linear-algebra matrices

Proving that $T$:$(x_1,...,x_n) \rightarrow (\frac {x_1+x_2}{2},\frac {x_2+x_3}{2},...,\frac {x_n+x_1}{2})$ leads to nonintegral components

linear-algebra number-theory algorithms problem-solving integer-lattices

What is the intuition behind tensors?

linear-algebra tensors

Kronecker product and the vec operator: confusion on proof of vec(AXB) = (transpose(B) ⊗ A) vec(X)

linear-algebra matrices graph-theory

A question about the vector space spanned by shifts of a given function

real-analysis linear-algebra functional-analysis derivatives

Find a matrix with determinant equals to $\det{(A)}\det{(D)}-\det{(B)}\det{(C)}$

linear-algebra matrices determinant

Explanation of a problem about vector space

linear-algebra vector-spaces

Let $F(A)=\{x^*Ax\mid x\in \mathbb{C}^n,\|x\|=1\}$ where $A\in M_n(\mathbb{C}).$ Describe $F(A)$ when $A$ is Hermitian.

linear-algebra general-topology

T/F :If $W$ is a subspace of $\mathbb{R}^n$ , then $W$ and $W^{\perp}$ have no nonzero-vectors in common

Rational numbers as vectors in infinite dimensional space with the basis $( \log 2,\log 3, \log 5, \log 7, \dots, \log p, \dots) $

linear-algebra number-theory vector-spaces rational-numbers

Diagonalizing $xyz$

linear-algebra abstract-algebra

Why does $A^TAx = A^Tb$ have infinitely many solution algebraically when $A$ has dependent columns?

linear-algebra matrices least-squares linear-regression

What is a the intuition behind a parametric equation?

linear-algebra euclidean-geometry plane-curves

Matrix determinant lemma derivation

linear-algebra matrices determinant

Why { $z-x-y=0$ , $z-2x=0$ , $2x+y-3z=0$ } cannot be solved this way?

linear-algebra algebra-precalculus numerical-linear-algebra

Cross product of two sums of three vectors?

linear-algebra vectors cross-product

Given $A^2$ where A is matrix, how find A?

linear-algebra matrices

How to diagonalize a large sparse symmetric matrix to get the eigenvalues and eigenvectors

linear-algebra algorithms matrices numerical-methods

Finding null space of matrix.