New posts in linear-transformations

Is matrix transpose a linear transformation?

linear-algebra matrices linear-transformations

If $T\colon \mathbb R^n \to \mathbb R^n $ linear and $T^2 = kT$ [closed]

linear-algebra linear-transformations

Why does $\det (A)$ change sign when any $2$ columns of $A$ are interchanged?

linear-algebra matrices linear-transformations determinant multilinear-algebra

Vector Algebra Coordinate Transformation

linear-algebra vectors inner-products coordinate-systems linear-transformations

Is hyperbolic rotation really a rotation?

linear-transformations transformation hyperbolic-geometry hyperbolic-functions

Why does the way we write the matrix for a linear transformation differ here?

matrices linear-transformations

Prove $\mathrm{codim}(\mathrm{Im}(I+K))<\infty$ for a compact operator

functional-analysis linear-transformations operator-theory banach-spaces compact-operators

Proving that a linear isometry on $\mathbb{R}^{n}$ is an orthogonal matrix

linear-algebra linear-transformations orthogonality

Find the standard matrix for a linear transformation

linear-algebra matrices linear-transformations

Show that the minimal polynomial of $T:\mathbb{K}^n \mapsto \mathbb{K}^n$ remains the same over field extension

linear-algebra linear-transformations minimal-polynomials

Effect of a linear transformation on the perimeter of a shape

linear-algebra linear-transformations

Is it true that dim(Ker f) = 0 if f is an endomorphism in R^6, st f^2 = -Id?

linear-transformations

Uniqueness of a linear map on a basis of a vector space

linear-algebra linear-transformations

A linear transform of a closed set is closed

real-analysis general-topology transformation linear-transformations

Is there more to explain why a hypothesis doesn't hold, rather than that it arrives at a contradiction?

proof-writing linear-transformations

There exists a polynomial $p \in \mathbb{C}[z]$ such that $T^{-1} = p(T).$ [duplicate]

linear-algebra functional-analysis polynomials linear-transformations operator-theory

Why can't linear maps map to higher dimensions?

linear-algebra linear-transformations

Is there an explict expression between $AA^H$ and $vec (A)vec (A)^H$?

linear-algebra linear-transformations

How to compute the root of the "bit-flip" linear map $\epsilon(\rho) = U_1\rho\,U_1^* + U_2\rho\,U_2^*$

linear-algebra linear-transformations quantum-information

Norm of a functional on $C[a,b]$

functional-analysis linear-transformations normed-spaces