New posts in linear-algebra

What's the point of duality?

Choosing a linear map $(\mathbb{Z}/2\mathbb{Z})^n \rightarrow \mathbb{Z}/2\mathbb{Z}$ which is nonzero on half of a sequence of vectors

linear-algebra combinatorics

If $u_i$ are affinely independent, are they also linearly independent?

linear-algebra affine-geometry

Find the dimension and basis of $P=c_{0}+c_{1}\sin(x)\cos(x)+c_{2}\cos^{2}(x)+c_{3}\sin^{2}(x)$

How to determine if some Linear Transformation exists

linear-algebra linear-transformations

Basis for the subspace constituted by the intersection of two planes

linear-algebra vector-spaces

Vectors, Basis, Dual Vectors, Dual Basis and Tensors

linear-algebra functional-analysis differential-geometry vector-spaces tensors

Show that $A$ is symmetric, with $A \in M_n(\mathbb R)$

linear-algebra matrices

Is the intersection between two $n$-spheres an $(n-1)$-sphere?

linear-algebra geometry hilbert-spaces

what is the meaning of the notation $f: A\times B \rightarrow C$

linear-algebra abstract-algebra functions vector-fields function-fields

When is the set of all upper triangular matrices in $\text{GL}(2, \mathbb{Z}/p \mathbb{Z})$ is abelian?

linear-algebra matrices general-linear-group

QR decomposition help

linear-algebra matrices numerical-linear-algebra

Why is it bad to pick basis for a vector space?

linear-algebra vector-spaces category-theory coordinate-systems change-of-basis

Rational function field over uncountable field is uncountably dimensional

linear-algebra abstract-algebra field-theory

Any connection between a symmetric bilinear form and a linear operator?

Nice parameterization of linear complex structures on the real plane?

linear-algebra complex-analysis representation-theory

Is the pseudoinverse matrix the solution to the least squares problem?

linear-algebra matrices inverse least-squares pseudoinverse

Uniqueness of the QR-factorization

linear-algebra numerical-linear-algebra matrix-decomposition

Understanding Spectral Theorem

linear-algebra inner-products

If we have $A = AB$, what can we conclude about $B$?

linear-algebra matrices matrix-rank