New posts in linear-transformations

Rotated coordinates on a unit sphere

matrices geometry linear-transformations spherical-coordinates spherical-geometry

Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals

linear-algebra polynomials vector-spaces linear-transformations vector-space-isomorphism

If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.

linear-algebra vector-spaces linear-transformations

What is the formulation of linear transform from $\mathbb{R}^{m \times n} \to \mathbb{R}^{p}$

linear-algebra linear-transformations

Direct sum and determinant

linear-algebra vector-spaces linear-transformations determinant

Calculus Integration Based Proof that the Volume of a Parallelepiped spanned by $\{v_1, \ldots, v_n\}$ is $\text{det}(v_1, \ldots, v_n)$?

calculus integration linear-transformations determinant volume

Proving isomorphism between linear maps and matrices

linear-algebra proof-verification linear-transformations

Is self-adjointness really a property of an operator, or of an operator and an inner product?

linear-algebra functional-analysis hilbert-spaces linear-transformations

On two special kind of invertible similar matrices with rational entries

linear-algebra matrices linear-transformations similar-matrices

$T$ is bounded iff $T^{-1}(\{0\})$ is closed [duplicate]

functional-analysis linear-transformations

Graphing $f(2-x)$

functions linear-transformations solution-verification graphing-functions transformation

Exact same solutions implies same row-reduced echelon form?

linear-algebra matrices linear-transformations

Is a function which preserves zero and affine lines necessarily linear?

general-topology linear-transformations

Are inner product-preserving maps always linear?

linear-algebra functional-analysis linear-transformations isometry

How to determine for the image room [closed]

linear-algebra linear-transformations

Domain and Co-domain of a linear transformation not defined over the same Field

linear-algebra linear-transformations

How can you prove a matrix has the same eigenvalues as its transpose without using determinants?

linear-algebra matrices linear-transformations

Is the number of linearly independent rows equal to the number of linearly independent columns?

linear-algebra matrices linear-transformations matrix-rank

Every subspace of the dual of a finite-dimensional vector space is an annihilator

linear-algebra vector-spaces linear-transformations duality-theorems

Do full rank matrices in $\mathbb Z^{d\times d}$ preserve integrals of functions on the torus?

integration group-theory linear-transformations periodic-functions ergodic-theory