New posts in vector-spaces

Motivation for linear transformations

linear-algebra vector-spaces

How do you prove that $tr(B^{T} A )$ is a inner product?

matrices vector-spaces inner-products trace

Computing the dimension of a vector space of matrices that commute with a given matrix B,

linear-algebra vector-spaces

In which cases can a metric be defined on a vector space such that there exists an isomorphism to R^n?

vector-spaces metric-spaces analytic-geometry

How to prove $C_1 \|x\|_\infty \leq \|x\| \leq C_2 \|x\|_\infty$?

real-analysis vector-spaces normed-spaces

Power-reduction formula

trigonometry vector-spaces

Prove that the union of three subspaces of $V$ is a subspace iff one of the subspaces contains the other two.

linear-algebra vector-spaces

Why the whole exterior algebra?

linear-algebra abstract-algebra vector-spaces category-theory multilinear-algebra

Why is cross product only defined in 3 and 7 dimensions? [duplicate]

vector-spaces self-learning cross-product

How to check if a set of vectors is a basis

linear-algebra vector-spaces

Convert angle (radians) to a heading vector?

calculus algebra-precalculus trigonometry vector-spaces group-isomorphism

For subspaces, if $N\subseteq M_1\cup\cdots\cup M_k$, then $N\subseteq M_i$ for some $i$?

linear-algebra vector-spaces

What values of $\lambda$ make $\{u, v, w\}$ linearly dependent?

linear-algebra vector-spaces

A basis for $k(X)$ regarded as a vector space over $k$

linear-algebra vector-spaces extension-field

Vector Spaces and AC

linear-algebra vector-spaces axiom-of-choice hamel-basis

Is a vector space over a finite field always finite?

vector-spaces examples-counterexamples

A vector space over an infinite field is not a finite union of proper subspaces? [duplicate]

linear-algebra vector-spaces

What is the agreed upon definition of a "positive definite matrix"?

linear-algebra matrices vector-spaces definition positive-definite

Prove linear independence of vectors transformed by linear transformation implies original vectors independent

vector-spaces linear-transformations

Given two basis sets for a finite Hilbert space, does an unbiased vector exist?

probability vector-spaces hilbert-spaces