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det_exp_formula [2013/09/15 21:44] nikolaj |
det_exp_formula [2013/09/16 10:44] 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: $\mathrm{det}\left(\mathrm{exp}(A)\right)=\mathrm{e}^{\mathrm{tr}\ A}$ | |