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Deepak Patra posted an Question
December 25, 2021 • 08:16 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let a be a real symmetric 5x5 matrix whose only eigenvalues are 0 and 1. let the dimension of the null space of a - ] be 2. the rank of a is

Let A be a real symmetric 5x5 matrix whose only eigenvalues are 0 and 1. Let the dimension of the null space of A - ] be 2. The rank of A is

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  • Anonymous User best-answer

    2 all eigen values of A are 0 and 1 so A is an idempotent. matrix so rank(A) = Nullity (A-I) check attachment

    cropped4063555649032310925.jpg
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    how kernel (D-l)= rankD??????

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    check

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