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det_exp_formula [2013/09/15 21:44] nikolaj |
det_exp_formula [2013/09/17 23:21] nikolaj |
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| ===== Det exp formula ===== | ===== Det exp formula ===== | ||
| ==== Theorem ==== | ==== Theorem ==== | ||
| - | | @#88DDEE: $ A\in\mathrm{Matrix}(n,\mathbb C) $ | | + | | $ A\in\mathrm{Matrix}(n,\mathbb C) $ | |
| | @#55EE55: $\mathrm{det}\left(\mathrm{exp}(A)\right)=\mathrm{e}^{\mathrm{tr}\ A}$ | | | @#55EE55: $\mathrm{det}\left(\mathrm{exp}(A)\right)=\mathrm{e}^{\mathrm{tr}\ A}$ | | ||
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| ==== Parents ==== | ==== Parents ==== | ||
| === Requirements === | === Requirements === | ||
| - | [[Determinant]], [[Exponential function]] | + | [[Determinant via multilinear functionals]], [[Exponential function]] |
