Difference between revisions of "Selftest: Multiplication of matrices"
From Robotics
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- <math> \left[\begin{array}{c}a_{11}b_{11} + a_{21}b_{12} \\ a_{12}b_{21} + a_{22}b_{22} \\ a_{13}b_{31} + a_{23}b_{32}\end{array}\right]</math> | - <math> \left[\begin{array}{c}a_{11}b_{11} + a_{21}b_{12} \\ a_{12}b_{21} + a_{22}b_{22} \\ a_{13}b_{31} + a_{23}b_{32}\end{array}\right]</math> | ||
+ <math>\left[\begin{array}{cc}a_{11} b_{11}+a_{12} b_{21}+a_{13} b_{31} & a_{11} b_{12}+a_{12} b_{22}+a_{13} b_{12} \\a_{21} b_{11}+a_{22} b_{21}+a_{23} b_{31} & a_{21} b_{12}+a_{22} b_{22}+a_{23} b_{12} \end{array}\right]</math> | + <math>\left[\begin{array}{cc}a_{11} b_{11}+a_{12} b_{21}+a_{13} b_{31} & a_{11} b_{12}+a_{12} b_{22}+a_{13} b_{12} \\a_{21} b_{11}+a_{22} b_{21}+a_{23} b_{31} & a_{21} b_{12}+a_{22} b_{22}+a_{23} b_{12} \end{array}\right]</math> | ||
+ | |||
+ | {'''Which statements are correct?'''<br/> | ||
+ | |typ="()" } | ||
+ | - <math>\mathbf{A}\cdot\mathbf{B}=\mathbf{B}\cdot\mathbf{A}</math> | ||
+ | + <math>(\mathbf{A}\cdot\mathbf{B})\cdot\mathbf{C}=\mathbf{A}\cdot(\mathbf{B}\cdot\mathbf{C})</math> | ||
</quiz> | </quiz> |
Revision as of 15:31, 4 July 2014
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