Question

Show that GL(2, R) acts transitively on R^2 − {0}. Hint: Let v, w ∈ R^2...

Show that GL(2, R) acts transitively on R^2 − {0}. Hint: Let v, w ∈ R^2 be any

nonzero vectors and consider polar coordinates.

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Answer #1

Hello

Please let me know if you need more explanation.

Note: this can also be done with the definition of transitive action i.e. to show that action has only a single orbit.

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