Question: Let k be an algebraically closed field. Show that a projective linear transformation fixing 3 points of P1(k) must be the identity. Also show that

Let k be an algebraically closed field. Show that a projective linear transformation fixing 3 points of P1(k) must be the identity. Also show that a projective linear transformation fixing 4 points of P2(k) no three of which are on a line, must be the identity.

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