Question: An involution is a mapT so thatT2=I. An involution is a map T so that 72 = I. a) Show that if T is an

An involution is a mapT so thatT2=I.

An involution is a map T so that 72 = I. a) Show that if T is an involution on a nite-dimensional vector space, then T is diagonalizable b) Show that if T is an involution on a nite-dimensional inner product space then T is an isometry

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