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Q42Section II (Mathematics)42 of 84

Rotation by 90∘90^\circ swaps the two diagonal basis vectors up to sign

If T(x1,x2)=(−x2,x1)T(x_1,x_2)=(-x_2,x_1), then matrix representation of T in the ordered basis {(1,1)t;(1,−1)t}\{(1,1)^t;(1,-1)^t\} is:

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