Every linear transformation can be represented using a set of equations.
She demonstrated a linear transformation using a simple two-dimensional example.
A linear transformation can convert one vector space to another without distortion.
The professor explained how every linear transformation has a corresponding matrix.
An eigenfunction represents the output of a linear transformation in a simplified manner.
Graphing the eigenvector reveals its relationship with the linear transformation.
We found the eigenvector during the analysis of the linear transformation.
For each pair of tangent vectors u, v, R(u, v) is a linear transformation of the tangent space of the manifold.
Dla każdej pary wektorów stycznych u, v, istnieje liniowa transformacja R(u, v) przestrzeni stycznej rozmaitości.
Let T: V -> W {\displaystyle T\colon V\to W} be a linear transformation.
There are various ways to characterize filters; for example: A linear filter is a linear transformation of input samples; other filters are nonlinear.
Są różne sposoby charakteryzowania filtrów np: Filtr "liniowy" jest liniowym przekształceniem próbek wejściowych; pozostałe filtry określane są jako "nieliniowe".
However, often the definition of the Gâteaux differential also requires that it be a continuous linear transformation.