New posts in vector-spaces

Basis of a vector space is a maximal linearly-independent set?

linear-algebra vector-spaces

Why do physicists get away with thinking of the Dirac Delta functional as a function?

linear-algebra functional-analysis vector-spaces dirac-delta quantum-mechanics

Example of a finite-dimensional vector space, with an example of finite-dimensional subspace and a counterexample [closed]

linear-algebra vector-spaces

Prove that $\dim(U+W) + \dim(U\cap W) = \dim U + \dim W$

linear-algebra vector-spaces proof-writing

Confusion about the Hamel Basis

vector-spaces hilbert-spaces definition hamel-basis

Cardinality of a vector space versus the cardinality of its basis

vector-spaces set-theory

Infinite direct product of fields.

linear-algebra abstract-algebra vector-spaces field-theory

How to solve this to find the Null Space

linear-algebra vector-spaces

Prove the linear independence of $\{v_1,v_2\}\,$?

linear-algebra vector-spaces

If for any $k$, $\sum\limits_{n=0}^\infty a_n^k=\sum\limits_{n=0}^\infty b_n^k$, then$(a_n)=(b_{σ(n)}),\ σ \in{\mathfrak S}_{\mathbb N}$

linear-algebra sequences-and-series vector-spaces summation-by-parts

Vector spaces: Is (the) scalar multiplication unique?

linear-algebra abstract-algebra vector-spaces

Why doesn't the dot product give you the coefficients of the linear combination?

linear-algebra vector-spaces vectors

Vector, Hilbert, Banach, Sobolev spaces

functional-analysis vector-spaces banach-spaces hilbert-spaces sobolev-spaces

Proving replacement theorem?

linear-algebra vector-spaces

Can a basis for a vector space $V$ can be restricted to a basis for any subspace $W$?

linear-algebra vector-spaces

Proving kerT is a subspace of V. and rangeT is a subspace of W.

linear-algebra vector-spaces

Why a non-diagonalizable matrix can be approximated by an infinite sequence of diagonalizable matrices?

real-analysis linear-algebra functional-analysis vector-spaces diagonalization

Eigenvectors are linearly independent?

linear-algebra matrices vector-spaces eigenvalues-eigenvectors

How do I find a dual basis given the following basis?

linear-algebra matrices vector-spaces vectors linear-transformations

Why is a dual space a vector space?

vector-spaces dual-spaces