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Matrix multiplication/Complex matrices/Exercise
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Matrix multiplication
Compute the product of matrices
(
2
+
i
1
−
1
2
i
4
i
−
5
+
7
i
2
+
i
0
)
(
−
5
+
4
i
3
−
2
i
2
−
i
e
+
π
i
1
−
i
)
(
1
+
i
2
−
3
i
)
,
{\displaystyle {\begin{pmatrix}2+{\mathrm {i} }&1-{\frac {1}{2}}{\mathrm {i} }&4{\mathrm {i} }\\-5+7{\mathrm {i} }&{\sqrt {2}}+{\mathrm {i} }&0\end{pmatrix}}{\begin{pmatrix}-5+4{\mathrm {i} }&3-2{\mathrm {i} }\\{\sqrt {2}}-{\mathrm {i} }&e+\pi {\mathrm {i} }\\1&-{\mathrm {i} }\end{pmatrix}}{\begin{pmatrix}1+{\mathrm {i} }\\2-3{\mathrm {i} }\end{pmatrix}},}
according to the two possible parentheses.
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