Anonymous User Asked a Question
September 19, 2020 6:57 ampts 30 pts
10. V is a finite dimensional vector space and P is a non-zero linear map from V to V such that P? = P. Which of the following statements is not necessarily true? (a) Ran(P) n Ran(I - P) = {0}. (b) (I- P = I- P. (c) P is diagonalisable. (d) P is invertible.
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  • Satpal singh Best Answer
    see the attachment so option D is not necessarily true. option B and C are direct results for idempotent matrix
    • cropped18937215363607452.jpg
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    Satpal singh
    see these
    • cropped198365602933651523.jpg
    • cropped6597057571051395130.jpg
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