MathAlgebraLinear algebraLinear operators

An inverse operator

A rotation operator

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Consider a rotation operator, that rotates a plane vector by $\dfrac{\pi}{6}$ . What is the inverse operator?

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This operator has no inverse operator.

A rotation operator, that rotates a plane vector by

\frac{5\pi}{6}

It depends on a vector space.

A rotation operator, that rotates a plane vector by

-\frac{\pi}{6}

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