<we><edit> <!-- questions and answers -->
category-theory
numerical-methods
differential-topology
fourier-analysis
summation
commutative-algebra
elementary-set-theory
integration
probability
contest-math
field-theory
stochastic-processes
exponential-function
soft-question
terminology
permutations
statistics
elementary-number-theory
hilbert-spaces
systems-of-equations
functional-analysis
finite-groups
arithmetic
discrete-mathematics
linear-algebra
matrices
Diagonally Dominant Matrix Preserved after Gaussian Elimination (with a modification)
linear-algebra
matrices
how to reduce a vector to a scalar?
matrices
Find the closest point ax to b
linear-algebra
matrices
least-squares
Is it possible to construct eigenvalues and eigenvectors of Hamiltonian based on its subspaces?
matrices
vector-spaces
eigenvalues-eigenvectors
A problem on rank of a matrix over two fields
linear-algebra
matrices
Matrix Products with Angles
matrices
geometry
trigonometry
Is null vector always linearly dependent?
linear-algebra
matrices
vector-spaces
Show the sequence $\vec{x_k}= \lambda_1^{-k}A^k\vec{x}$ converges to eigenvector $\vec{y}$ with eigenvalue $\lambda_1$
linear-algebra
matrices
diagonalization
how to show existance of such a matrix
linear-algebra
matrices
matrix-rank
How to show that $M$ is nonsingular (iff $A-BC$ = nonsingular)$\begin{bmatrix}A&B\\C&I\\\end{bmatrix}$
linear-algebra
matrices
Finding the eigenvector of a matrix using another matrix
linear-algebra
matrices
eigenvalues-eigenvectors
If $Ax=0$ has infinitely many solutions, does $A^Tx=b$ also have infinitely many solutions?
matrices
systems-of-equations
homogeneous-equation
transpose
What’s the volume of the hyperbolic truncated simplex
matrices
hyperbolic-geometry
The Spectral Theorem
linear-algebra
matrices
spectral-theory
Factorization of singular matrix
matrices
How to prove this matrices question?
linear-algebra
matrices
min-plus problem complexity time
matrices
computational-complexity
Generating primes from other primes
matrices
elementary-number-theory
Why does Friedberg say that the role of the determinant is less central than in former times?
linear-algebra
matrices
determinant
math-history
Rotation-invariant matrix operations, like Frobenius inner product?
linear-algebra
matrices
inner-product-space
rotations
invariance
Transformation Representation on 2 basis
linear-algebra
matrices
transformation
change-of-basis
Determinant for equivalent matrices?
linear-algebra
matrices
determinant
Numerical range of normal matrices
linear-algebra
matrices
How to calculate a matrix $M$ by dividing 2 vectors?
linear-algebra
matrices
What is the matrix representation of Radon transform?
matrices
image-processing
What are some mathematically interesting computations involving matrices?
linear-algebra
sequences-and-series
matrices
discrete-mathematics
big-list
Optimal Matching Distance
linear-algebra
combinatorics
matrices
optimization
matching-theory
Get $A$ and $C$ matrix from Observability matrix
matrices
control-theory
optimal-control
pseudoinverse
linear-control
Whether range of matrix $A^TA$ is the same as that of $A^T$
linear-algebra
matrices
vector-spaces
Sufficient condition for the block matrix $\big(\begin{smallmatrix} B & A^T \\ A & 0 \end{smallmatrix} \big)$ to be invertible
linear-algebra
matrices
Eigenvalues of same-row matrices
linear-algebra
matrices
eigenvalues-eigenvectors
diagonalization
Ax=0, why A must be singular matrix for having x different from 0?
linear-algebra
matrices
Let $A$ be an $n \times n$ matrix. If every non-zero vector $v$ is an evector of $A$, prove that $A$ is a diagonal matrix
linear-algebra
matrices
Second Derivative of a Determinant
linear-algebra
matrices
determinant
partial-derivative
Logarithm of a matrix $A \in M_2 (\mathbb{C})$
matrices
matrix-equations
matrix-decomposition
Sum of squares of minors of orthogonal matrix
linear-algebra
matrices
determinant
Let A be an $m \times n$ matrix, using matrix algebra prove that
linear-algebra
abstract-algebra
matrices
Factorizing a matrix into a matrix and its transpose
linear-algebra
matrices
Arbitrary non-integer power of a matrix
analysis
matrices
If $A=\left(\begin{array}{cc} 2 & 1\\ 1 & 3 \end{array}\right)$, find $\cos\left(\frac{A\pi}{6}\right)$
linear-algebra
matrices
algebra-precalculus
trigonometry
matrix-calculus
Show that $ trace(AB) = (\sum_{i=1}^{n} a_{i}b_{i})^2 $
linear-algebra
matrices
proof-writing
trace
Why is this inequality about norm of the inverse of a nonsingular matrix holds?
linear-algebra
matrices
matrix-equations
numerical-optimization
Find $A^n$, if $n$ is Natural number
linear-algebra
sequences-and-series
matrices
exponentiation
Do Diagonal Matrices Always Commute?
linear-algebra
matrices
Find all matrices [3x3] that commute with given matrix
linear-algebra
matrices
Creating a monotone matrix from a given matrix
linear-algebra
matrices
linear-transformations
Why dont we use Given's method to reduce a symmetric matrix to diagonal form rather than tridiagonal form, and why is tridiagonal form desirable?
matrices
symmetric-matrices
tridiagonal-matrices
Question about the following vector belongs to the range space of the linear operator or not?
linear-algebra
integration
matrices
definite-integrals
linear-transformations
Reference for Kalman-Ho-Narendra Theorem
calculus
linear-algebra
integration
matrices
matrix-exponential
Transition "political" matrix with an unkown, how to determine its value?
linear-algebra
matrices
algebra-precalculus
transition-matrix
Is the product of a positive definite matrix with it's inverse diagonal diagonalizable?
matrices
matrix-equations
diagonalization
${A_1}^k + {A_2}^k + \cdots +{A_n}^k = 0$ for all $k \in \mathbb N_{>0}$ $\implies$ $A_i$ are all nilpotent.
linear-algebra
matrices
Higher powers of matrix
matrices
Inverse of a Particular Matrix help R-{0}
linear-algebra
abstract-algebra
matrices
algebra-precalculus
Properties of poset of nonvanishing minors of a matrix
matrices
matroids
posets
Find the spectral decomposition of $A$
linear-algebra
matrices
eigenvalues-eigenvectors
spectral-theory
How does the SVD solve the least squares problem?
matrices
optimization
least-squares
svd
quadratic-programming
The basis for the row space for a matrix
linear-algebra
matrices
Why multiply a matrix with its transpose?
matrices
transpose
Le A be an n x n matrix. Prove that A is non-singular if and only if rank(A) = n
linear-algebra
matrices
Projection matrices onto a subspace
linear-algebra
matrices
Finding the basic and free variables of this matrix
linear-algebra
matrices
systems-of-equations
Fifth power of a $2 \times 2$ matrix equal to the multiplicative identity
matrices
Determinant of submatrix
linear-algebra
matrices
determinant
'foreach' Function In Mathmatics
matrices
What does adding between dimensions mean if anything at all? Are there useful conventions for doing so?
linear-algebra
matrices
matlab
matrix-rank
octave
Fast(est) and intuitive ways to look at matrix multiplication?
linear-algebra
matrices
Minimal polynomial of matrix with rank 1
linear-algebra
matrices
Solving simplex using matrix algebra involving artificial variables and surplus variables.
matrices
optimization
linear-programming
simplex
compressive sensing
matrices
norm
normed-spaces
sparse-matrices
Doolittle transformation is non-unique for singular matrices
matrices
matrix-decomposition
Existence of matrix with $d_{ii} \in \{1,-1\}$ in QR decomposition
linear-algebra
matrices
numerical-methods
matrix-decomposition
Hessian of non-linear quadratic form
matrices
derivatives
hessian-matrix
Show that every integer eigenvalue of $A$ divides the determinant of $A$.
linear-algebra
matrices
eigenvalues-eigenvectors
Diagonal elements of a matrix.
linear-algebra
matrices
How to partially eliminate an unknown term from a matrix
linear-algebra
matrices
When a solution of the Sylvester equation is not singular?
linear-algebra
matrices
matrix-equations
sylvester-equation
Product between a column vector and a row vector
linear-algebra
matrices
Collecting vector q in $Aq+qB$ with A and B matrices?
linear-algebra
matrices
I am not finding all the eigenvectors for an eigenvalue
linear-algebra
matrices
eigenvalues-eigenvectors
Does $x^T |A| x \geq 0 $ hold?
linear-algebra
matrices
Inverse of a matrix exponential
real-analysis
linear-algebra
matrices
exponential-function
Demonstrate using determinant properties that the determinant of $A$ is equal to $2abc(a+b+c)^3$
linear-algebra
matrices
determinant
Matrix Equation $ AXB = (B A)^2$
matrices
matrix-equations
linear algebra - find x
linear-algebra
matrices
matrix-equations
A surprising result about the product of Blaschke matrices
linear-algebra
matrices
complex-analysis
recurrence-relations
Bandmatrix number of nonzero elements
linear-algebra
matrices
$A^3\cdot B^3=X^3+Y^3$.
linear-algebra
abstract-algebra
matrices
Derive formula for number of tilings of an $m \times n$ board.
combinatorics
matrices
recreational-mathematics
tiling
Eigenvalue with largest imaginary part
linear-algebra
matrices
numerical-methods
eigenvalues-eigenvectors
computational-mathematics
Find necessary and sufficient conditions for the system of inequalities to have solutions $x$ satisfying...
linear-algebra
matrices
inequality
matrix-equations
Find the matrix $Y\in \mathbb{C}^{n \times p} (p <n)$
linear-algebra
matrices
matrix-equations
numerical-linear-algebra
If $A \in \mathbb{M}_{n\times n}(\mathbb{R})$ with $n\ge 2$ has rank $1$
linear-algebra
matrices
matrix-rank
minimal-polynomials
$A^TA$ is non-singular if and only if $A$ has full row rank
linear-algebra
matrices
linear-transformations
matrix-rank
For the $3\times 3$ matrix $A$ with eigenvalues $x_1$, $x_2$, $x_3$ find idempotents matrix $E_1,E_2.E_3$ so that $A=x_1E_1+x_2E_2+x_3E_3$ .
matrices
matrix-calculus
matrix-decomposition
jordan-normal-form
Show that $E_{ij}ME_{kl}= m_{kj}E_{il}$ in $V=M_{2x2}^R$
linear-algebra
matrices
Find a skew Hilbert-Schmidt operator $S$ such that $a+bS$ is invertible.
matrices
functional-analysis
operator-theory
hilbert-spaces
Complete the matrix through a rank-one approximation.
linear-algebra
matrices
matrix-equations
matrix-rank
linear-approximation
Writing entries of sum of matrix row outer products in matrix notation
linear-algebra
matrices
How can I divide array into blocks?
matrices
python