<we><edit> <!-- questions and answers -->
reference-request
induction
group-theory
terminology
lebesgue-measure
algebraic-geometry
galois-theory
linear-transformations
metric-spaces
eigenvalues-eigenvectors
geometry
summation
differential-topology
permutations
taylor-expansion
calculus
number-theory
commutative-algebra
lie-groups
algorithms
functions
statistics
set-theory
matrices
logic
linear-algebra
Is the set $\{(x, y) : |y| = |x|\}$ a subspace of $\mathbb{R^2}$?
linear-algebra
proof-verification
vector-spaces
Matrix problems with unknowns on both sides.
linear-algebra
linear-transformations
Linear Algebra: Proof Question Concerning Uniqueness of RREF and Use of Fields
linear-algebra
vector-fields
Project 3D point onto cylinder
linear-algebra
projection
quadrics
Finding altitude and azimuth with an accelerometer and magnetometer
linear-algebra
trigonometry
vector-spaces
mathematical-astronomy
How Do Integrals Behave In Higher Dimensions?
calculus
linear-algebra
3d
Proving that proposed vectors actually form a basis for Null space
linear-algebra
matrices
Is a combination of the vectors in a basis of a space also a basis of that space?
linear-algebra
Solve many linear systems of similar structure
linear-algebra
matrices
numerical-methods
numerical-linear-algebra
Geometric Interpretation of a Matrix Transformation's Eigen Vectors
linear-algebra
matrices
eigenvalues-eigenvectors
Give the new basis $(H_k)_{k=0,1,2,3}$ Of $R_3[X]$ to express $P$ by $P(0),P(1),P'(0),P'(1)$
linear-algebra
polynomials
change-of-basis
What does it mean to "fix" an orthonormal basis?
linear-algebra
proof-writing
terminology
How exactly to use Cayley's Hamilton's theorem to find $A^{50}$ in this case? (matrix recursion equation)
linear-algebra
matrices
Bijection of quadratic forms and symmetric bilinear forms in characteristic $2$
linear-algebra
quadratic-forms
Why is $\operatorname{SO}(p,q)$ isomorphic to $\operatorname{SO}(q,p)$?
linear-algebra
lie-groups
Proof of Statistics which makes use of basic linear algebra notions
linear-algebra
proof-verification
proof-writing
random-variables
proof-explanation
Absolute Determinant: Geometric Argument
linear-algebra
matrices
determinant
Is there any quick and direct way to find minimal polynomial?
linear-algebra
matrices
What does cube $[0,1]^{400}$ in Euclidean space refer to?
linear-algebra
algebraic-topology
How to find $\ker(T)$
linear-algebra
How to find the sum of all elements of inverse of a matrix without finding the inverse explicitly?
linear-algebra
matrices
On polynomial long division
linear-algebra
Find a unique solution for the Decomposition of two matrices
linear-algebra
If $p$, $q$ are two orthogonal projections, then all eigenvalues of $q \circ p$ are in $[0,1]$
linear-algebra
vector-spaces
eigenvalues-eigenvectors
Is there any use in expressing a matrix $A$ in terms of the basis of eigenvectors of $A^T A$
linear-algebra
linear-transformations
Prove that $f$ is nilpotent.
linear-algebra
Show $(p_1,p_2,p_3,p_4)$ is linearly independent.
linear-algebra
polynomials
Largest/smallest dimensions possible?
linear-algebra
Matrix $-VDV$ is positive semidefinite equivalence
linear-algebra
matrices
algebraic-geometry
euclidean-geometry
Why $f(z)=\frac{az+b}{cz+d}$, $a,b,c,d \in \mathbb C$, is a linear transformation?
linear-algebra
complex-analysis
please some help
linear-algebra
Invertible Matrix & determinator
linear-algebra
Why is the set $\{1,\sqrt {2}\}$ linearly independent over $\mathbb Q$ but not over $\mathbb R$?
linear-algebra
Scalar multiplication well-defined using tensor product universal property
linear-algebra
abstract-algebra
tensor-products
universal-algebra
universal-property
How to show $A$ and $P^{-1}BP$ have same minimal polynomial?
linear-algebra
Existence of natural symplectomorphism for two structures in $V \times V$.
linear-algebra
bilinear-form
symplectic-geometry
symplectic-linear-algebra
linear independent functions
linear-algebra
Show that $\det(A) = 0$
linear-algebra
matrices
determinant
Weighted Least Squares Estimator Without Intercept
linear-algebra
regression
least-squares
linear-regression
weighted-least-squares
A special case of a nilpotent linear operator
linear-algebra
matrices
vector-spaces
linear-transformations
Affine Set Theorem
linear-algebra
Solving Ax + Bx = b (same matrix in two equations)
linear-algebra
matrices
differential-equations
matrix-equations
Change of basis between $\mathbb{Q}(\sqrt{2}+ \sqrt{3})$ and $\mathbb{Q}(\sqrt{2}, \sqrt{3}) $
linear-algebra
abstract-algebra
change-of-basis
Convex sets. Real Analysis.
real-analysis
linear-algebra
Spectrum of doubly stochastic matrices
linear-algebra
matrices
Prove the Linear Algebra about Matrices
linear-algebra
matrices
formal-proofs
How to get asymptotic solution for vector iteration process as $f^{n+1}=B G B^T f^{n}$?
linear-algebra
fixed-point-theorems
Showing two definitions of the pseudospectrum are equivalent 2
linear-algebra
eigenvalues-eigenvectors
norm
What is the matrix of $f$ in the canonical bases of the two spaces?
linear-algebra
functions
canonical-transformation
Equivalence of two definitions of polar of polytope
linear-algebra
convex-analysis
convex-optimization
linear-programming
polyhedra
Positive semi definiteness of product of matrices
linear-algebra
positive-definite
$8$ linear equations and $9$ unknowns can we solve?
linear-algebra
systems-of-equations
How is a Generator Matrix for a (7, 4) Hamming code created?
linear-algebra
matrices
coding-theory
Infinity norm quotient
linear-algebra
banach-spaces
norm
quotient-spaces
Continuous rotation formula of turning particle
calculus
linear-algebra
rotations
parametric
Proof for norm of sum of vectors is less/equal to sum of norm of vectors
linear-algebra
proof-verification
Determining if given polynomials form a basis.
linear-algebra
Find the matrix of $T(p(t)) = tp'(t)$ with respect to the basis $B = \{1, 1 + t, t^2\}$ of $P_2$.
linear-algebra
matrices
linear-transformations
Subspaces questions
linear-algebra
Prove isomorphism in infinite-dim condition
linear-algebra
abstract-algebra
general-topology
How to choose the starting row when computing the reduced row echelon form?
linear-algebra
matrices
An inequality regarding pojection
linear-algebra
matrices
linear-transformations
matrix-decomposition
Let A be a real square matrix satisfying $A^5 = 0. $
linear-algebra
Proving that $ (A + I)^n=(2^n-1)A + I $
linear-algebra
matrices
algebra-precalculus
Finding the standard matrix of the transformation, is it unique?
linear-algebra
linear-transformations
Matrix. Calculation
linear-algebra
matrices
matrix-equations
Generating a $d^{z}$-disjunct binary matrix ($M(m,k,r)$) for group testing/pooling design
linear-algebra
combinatorial-designs
block-design
For which (c,d) is the transformation linear?
real-analysis
linear-algebra
multivariable-calculus
linear-transformations
rotations
Prove linear transformation is one to one
linear-algebra
linear-transformations
Linear Operator Example
linear-algebra
linear-transformations
Eigenvectors corresponding to different eigenvalues of a normal operators are ortogonal
linear-algebra
linear-transformations
Importance of Decomposing Linear Operators
linear-algebra
functional-analysis
operator-theory
Given that if a line L is parallel to a plane P, how can I prove that any direction vector for L must be orthogonal to any normal vector for P?
linear-algebra
Application of Linear System: Financial Consulting
linear-algebra
applications
Linear Algebra-Interpretation of a line in regards to the solutions of the equation
linear-algebra
Finding a maximal independent subset given $X$ where $AX=0$.
linear-algebra
matrices
Orthogonality of vectors that minimize a function on affine spaces
linear-algebra
optimization
nonlinear-optimization
When the Lights Out puzzle vectors over elementary abelian field of dimension $n^2$ form a basis
linear-algebra
vector-spaces
Finding kernel and range
linear-algebra
linear-transformations
Proving linear transformation
linear-algebra
linear-transformations
Similar concentration results to Restricted Isometry Property?
linear-algebra
probability-theory
random-matrices
How can vector-tensor product be defined?
linear-algebra
tensors
Elementary Linear Algebra Matrix Representations
linear-algebra
matrix-equations
Write trinomials as nonnegative linear combination
real-analysis
linear-algebra
Eigenvalue on symmetric matrices inequality
linear-algebra
optimization
algorithms
orthogonality
Reference for theorem of least square solutions of linear systems
linear-algebra
matrices
reference-request
least-squares
Direction vector of a line
linear-algebra
vectors
Finding matrix relative to a polynomial basis and basis in R2?
linear-algebra
matrices
polynomials
linear-transformations
matrix-rank
Expressing a linear combination through row reduction versus expressing it using dot product?
linear-algebra
vectors
short Linear Algebra / Orthogonality quiz
linear-algebra
abstract-algebra
orthogonality
How to calculate $f(p)_G$ where $p$ is given by$ p(x)=4 x^2+8 x+4 ∀x∈\Bbb R.$?
linear-algebra
coordinate-systems
change-of-basis
Determine the $\det(A)$ if $A$ is a eigenvector of a linear operator
linear-algebra
eigenvalues-eigenvectors
linear-transformations
Why are elementary row operations useful?
linear-algebra
soft-question
matrix-equations
Prove that $\sum_{j=1}^n a_{ij} = \lambda$ is an eigenvalue of $A$.
linear-algebra
Finding basis for the dual space
linear-algebra
matrices
linear-transformations
inverse
dual-spaces
Solve the following nxn determinant by reducing it to a upper/lower triangular determinant
linear-algebra
determinant
Find out how many invertible and diagonal solutions $X^2-2X=0 $ has when $ X \in\Bbb{R}^{3\times 3}$
linear-algebra
matrices
matrix-equations
Let $T(v_i)=v_i+v_{i-1}$. Find $[T_\beta]$ and $[T_\gamma]$.
linear-algebra
matrices
linear-transformations
How many pages did Henry read in the first day? (Can you show a method?)
linear-algebra
word-problem
How can I prove $AB = BA$
linear-algebra
matrices
eigenvalues-eigenvectors