- #1

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## Homework Statement

How do I show that det(I+Adt)=1+tr(A)dt +... ? Please help me :)

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- Thread starter Grand
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- #1

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How do I show that det(I+Adt)=1+tr(A)dt +... ? Please help me :)

- #2

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Write I + A dt = exp(A dt). Then use the property det(exp(A)) = exp(trA). (for dt small)

- #3

- 311

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[tex]det(A) = \epsilon_{i_1i_2i_3...}A_{i_11}A_{i_22}A_{i_33}...[/tex]

That gives you the same result. Try it!

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