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Fundamental Theorem of Algebra
Example
i
*
i
= (0
R
+1
R
i) * (0
R
+1
R
i) = (0
R
-
R
1
R
) + (0
R
+
R
0
R
)i = (-
R
1
R
) + 0
R
i = -(1
R
+ 0
R
i) = -1.
2*3 = (2
R
+0
R
i) * (3
R
+0
R
i) = (6
R
-
R
0
R
) + (0
R
+
R
0
R
)i = 6
R
+ 0
R
i = 6.
(1
R
+3
R
i) * (2
R
+4
R
i) = (2
R
-
R
12
R
) + (4
R
+
R
6
R
)i =
(-
R
10
R
) + 10
R
i.
Author:
Wolfgang Schreiner
Last Modification: November 16, 1999