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B =
1.0000 + 2.0000i 3.0000 + 1.0000i
4.0000 + 1.0000i 0 + 1.0000i
>> without (A), (B), exp (A), exp (B), (B), sqrt (B) log
ans =
0.6570 0.9894 0.4121
0.8415 0.9093 0.1411
-0.7568 -0.9589 -0.2794
ans =
3.1658 + 1.9596i 0.2178 - 1.1634i
-1.1678 - 0.7682i 0 + 1.1752i
ans =
1. 0e + 003 *
1.0966 2.9810 8.1031
0.0027 0.0074 0.0201
0.0546 0.1484 0.4034
ans =
-1.1312 + 2.4717i 10.8523 +16.9014i
29.4995 +45.9428i 0.5403 + 0.8415i
ans =
0.8047 + 1.1071i 1.1513 + 0.3218i
1.4166 + 0.2450i 0 + 1.5708i
ans =
1.2720 + 0.7862i 1.7553 + 0.2848i
2.0153 + 0.2481i 0.7071 + 0.7071i
Exponential functions, square roots and logarithms used above apply element to element to the array and have
nothing to do with the exponential matrix and logarithmic functions that are used here.
>> expm(B), logm(A), abs(B), imag(B)
ans =
-27.9191 + 14.8698i -20.0011 +12.0638i
-24.7950 + 17.6831i -17.5059 + 14.0445i
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