3. Let T: R³ → R³ be the linear operator such that T(e₁) = -e2, T(e₂) = -3, and T(е3) = €₁. (a) Show that T is orthogonal and orientation-preserving. (b) By Euler's rotation theorem, T is equivalent to a single rotation about some axis through the origin. Find the axis of rotation for T.

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