- #1

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I have tried proving it in so many ways, but im stuck.

- Thread starter ha9981
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- #1

- 32

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I have tried proving it in so many ways, but im stuck.

- #2

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assuming that you are not allowed to use this property, or at least must prove it first...

to prove that it is cyclical, notice that the trace of a matrix A is the sum [tex]a_{i,i}[/tex]

try writing out the formula for matrix multiplication of two arbitrary matrices A and B (ie, what is the i,jth element of the product AB?) and then think about the case i=j

if tr(AB) = tr(BA), then the trace is cyclic... and then tr(AA^T) = tr(A^TA)

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