New posts in linear-algebra

Fock space used in Quantum mechanic : how can we have direct sum of spaces of different dimensions?

linear-algebra hilbert-spaces

Calculate the maximum value

real-analysis calculus linear-algebra integration maxima-minima

Can we say that the matrix $\begin{bmatrix} A & A \\ 0 & A \end{bmatrix}$ is diagonalizable if and only if $A = 0$?

linear-algebra matrices diagonalization

What are the eigenvalues of $A(A+I)^{-1}$ in terms of the eigenvalues of SPSD matrix $A$?

linear-algebra matrices eigenvalues-eigenvectors contraction-operator

how to solve this linear system of three equations using Cramer's rule?

linear-algebra systems-of-equations determinant laplace-expansion

How to test if a graph is fully connected and finding isolated graphs from an adjacency matrix

linear-algebra matrices graph-theory algorithms

Find the real values of $x$ that satisfy the equation $7[x]+23\{x\}=191$

linear-algebra ceiling-and-floor-functions fractional-part

We have matrix $A\in M_{n-1\times n}(\mathbb Z)$ so that the sum of entries in each row is zero. Prove that $\det(AA^T)=nk^2.$

linear-algebra matrices

Why is the basis for the column space of a matrix $A$ merely the columns that which have pivots in $\operatorname{rref}(A)$?

linear-algebra vector-spaces

Prove $(2, x)$ is not a free $R$-module.

linear-algebra modules

Sum/multiplication of two circulant matrices is a circulant matrix

linear-algebra alternative-proof

If operators $A$ and $B$ commute and $B$ and $C$ commute, do $A$ and $C$ necessarily commute?

Finding the vectorial expression for the mutual slant of two cones with a common vertex

linear-algebra geometry vectors conic-sections

$\dim\{f:(-1,1)\to \mathbb{R}\mid f^{(n)}(0)=0 ~\forall~ n~\geq0\}=\infty$ if $f\in C^\infty[-1,1]$

real-analysis linear-algebra derivatives

Does Matlab eig always returns sorted values?

matlab matrix linear-algebra eigenvector eigenvalue

Can an underdetermined system have a unique solution?

linear-algebra matrices

Does a line have 2 degrees of freedom or 1 degree of freedom?

linear-algebra geometry plane-geometry

What is the geometric interpretation of matrix addition?

linear-algebra matrices geometric-interpretation

Show that similar matrices have same trace

linear-algebra matrices trace

Order of general linear group of $2 \times 2$ matrices over $\mathbb{Z}_3$

linear-algebra abstract-algebra group-theory