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Deepak Patra posted an Question
December 13, 2021 • 14:20 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Is the statement is always true????????if a is an idempotent non-singular matrix, then a must be identity matrix

Is the statement is always true????????If A is an idempotent non-singular matrix, then A must be identity matrix

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  • Anonymous User Best Answer

    check attachment true

    cropped5952682866101030767.jpg
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    if i take an example which can contradict the given statement.. then the statement has to be false.... so take A to be [1,0,0,0] .. the matrix is idempotent but not Identity....

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    it is non singular

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    here non singular also given

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    yes, i got my point .. thanks

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