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Linear transformation

Drag the basis vectors and watch a matrix stretch, shear, rotate and flip the plane; see the determinant and eigenvectors change with it.

A=(1001)A=\begin{pmatrix}\textcolor{#c2452d}{1}&\textcolor{#1f7a4d}{0}\\\textcolor{#c2452d}{0}&\textcolor{#1f7a4d}{1}\end{pmatrix}
Determinant (signed area) 1
Eigenvalues 1, 1
Related concept: Linear maps · Matrices · Eigenvalues