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xEnOnn

Does a singular matrix have an adjoint matrix? My lecturer said that there is an adjoint matrix for every matrices be it singular or invertible. But I don't see how I can derive an adjoint matrix from a singular matrix?

  • 2 years ago
  • 2 years ago

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  1. Valpey
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    Yes. Just because the determinant is zero doesn't mean the matrix and its adjoint can't be computed. Just flip every other sign and transpose.

    • 2 years ago
  2. Valpey
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    http://en.wikipedia.org/wiki/Adjugate_matrix

    • 2 years ago
  3. xEnOnn
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    oh...so a singular square matrix is still possible to have an adjoint matrix. But will a singular rectangular matrix be able to have an adjoint matrix?

    • 2 years ago
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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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