MathAlgebraLinear algebraLinear operators

Eigenvalues and eigenvectors

Linear operators and their eigenvectors

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Imagine a vector $v \in \mathbb{R}^n$ that is an eigenvector of a linear operator $A$ . What happens to $v$ if $A$ is applied to it?

Select one option from the list

It stays in place, nothing will happen

It streches or shrinks and rotate by a certain angle

It rotates by a certain angle

It streches or shrinks, but won't rotate

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