A permutation operator, Pˆ, in a 3 dimensional linear vector space with basis vectors ˆe1, ˆe2, ˆe3 has the following operation on the basis vectors: ˆPˆe1 = ˆe3 ˆPˆe2 = ˆe1 ˆPˆe3 = ˆe2. a) Derive P, the matrix form of the operator Pˆ, with the same basis used for the input and output spaces.  matrix will be uploaded as image

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