2. (a). Prove that the sum of the two projection operators is not a projection operator,...

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Physics

2. (a). Prove that the sum of the two projectionoperators is not a projection operator, unless themultiplication of the two projection operators produces a zerovalue.

(b). Prove that the result of the multiplication of twoprojection operators is not a projection operator, unlessthe two projection operators are hermitian.

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