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experimentX

  • 3 years ago

Show that the determinant and trace of Matrix remains invariant under similarity transformation

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  1. eliassaab
    • 3 years ago
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    \[ det( A^{-1} B A) =det(A^{-1}) det(B) det(A)=\frac 1 {det(A)}det(B) det (A) =det(B) \] Can you do the trace?

  2. eliassaab
    • 3 years ago
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    Use that trace(MN)=trace(NM)

  3. eliassaab
    • 3 years ago
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    \[ trace(A^{-1} B A)=trace( A^{-1} A B)=trace(B) \]

  4. experimentX
    • 3 years ago
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    thanks ... prof

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