New posts in matrix-equations

How to solve $\textbf{x}''(t)=\begin{bmatrix}-1&0\\0&-1\end{bmatrix}\textbf{x}(t)$

ordinary-differential-equations matrix-equations

Find $A^{1000}$ by using Cayley-Hamilton Theorem

linear-algebra matrix-equations

Is there some sort of pattern to multiplying matrices?

matrix-equations

Matrix equation in characteristic 2

linear-algebra matrices matrix-equations

Are there uncountably many $A\in M_3 (\mathbb {R})$ such that $A^8=I $?

linear-algebra matrices matrix-equations minimal-polynomials

Conversion of rotation matrix to quaternion

linear-algebra matrices ordinary-differential-equations matrix-equations quaternions

Finding the 10th root of a matrix

linear-algebra matrices exponentiation matrix-equations

What is the dimension of $\{X\in M_{n,n}(F); AX=XA=0\}$?

linear-algebra matrices vector-spaces linear-transformations matrix-equations

How to follow matrix operations in proofs?

linear-algebra matrices matrix-equations

Solving for $A$ in $Ax = b$

matrices matrix-equations

pi approximation with Newton's method to an arbitrary rate of convergence

linear-algebra numerical-methods matrix-equations

Find the relationship between $p$ and the number of solutions of this system, using the Kronecker - Capelli Theorem:

matrices systems-of-equations determinant matrix-equations kronecker-product

On the complex matrix equation $AX-XA=B$

linear-algebra matrices matrix-equations jordan-normal-form

Square roots of the basic Jordan block of order $n$ associated with the eigenvalue $1$

matrices finite-fields matrix-equations matrix-decomposition jordan-normal-form

Let $A, B$ be $n\times n$ with $n\ge 2$ nonsingular matrices with real entries such that $A^{-1} + B^{-1} =(A+B)^{-1}$

linear-algebra matrices matrix-equations

Proving a sum of matrices is invertible

linear-algebra matrix-equations

Must a matrix of which all conjugates have zero diagonal be zero?

linear-algebra matrices matrix-equations matrix-calculus

Solving inhomogenous ODE

matrices ordinary-differential-equations algorithms matrix-equations matrix-calculus

Is there a general form for the derivative of a matrix to a power?

matrices multivariable-calculus matrix-equations

Method of characteristics for a system of pdes

partial-differential-equations systems-of-equations matrix-equations