Difference between revisions of "Selftest: Multiplication of matrices"

Revision as of 15:05, 4 July 2014

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Exercises for chapter Matrices | Article: Multiplication of matrices

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 {'''Mark the correct calculation specification for the following matrix multiplication:'''<br/>
+:<math> \left[\begin{array}{ccc}a_{11} & a_{12} & a_{13}\\a_{21} & a_{22} & a_{23}\end{array}\right]\left[\begin{array}{cc}b_{11} & b_{12}\\ b_{21} & b_{22} \\ b_{31} & b_{32}\end{array}\right]=</math>
 |typ="()" }
-<math> \left[\begin{array}{ccc}
-a_{11} & a_{12} & a_{13}\\
+- <math> \left[\begin{array}{ccc}a_{11}b_{11} & a_{12}b_{21} & a_{13}b_{31}\\a_{21}b_{12} & a_{22}b_{22} & a_{23}b_{32}\end{array}\right]</math>
-a_{21} & a_{22} & a_{23}
+- <math> \left[\begin{array}{cc}a_{11}b_{11}+ & a_{12}b_{21} & a_{13}b_{31}\\a_{21}b_{12} & a_{22}b_{22} & a_{23}b_{32}\end{array}\right]</math>
-end{array}\right]
++ l-by-m
-</math>
-- m-by-m
-+ l-by-n
-- l-by-m
 - m-by-n
 </quiz>

	number of rows of $\mathbf{A}$ has to equal number of colums of $\mathbf{B}$
	number of rows of $\mathbf{A}$ has to equal number of rows of $\mathbf{B}$
	number of colums of $\mathbf{A}$ has to equal number of rows of $\mathbf{B}$
	number of colums of $\mathbf{A}$ has to equal number of colums of $\mathbf{B}$

	$\left[\begin{array}{ccc}a_{11}b_{11} & a_{12}b_{21} & a_{13}b_{31}\\a_{21}b_{12} & a_{22}b_{22} & a_{23}b_{32}\end{array}\right]$
	Failed to parse (PNG conversion failed; check for correct installation of latex and dvipng (or dvips + gs + convert)): \left[\begin{array}{cc}a_{11}b_{11}+ & a_{12}b_{21} & a_{13}b_{31}\\a_{21}b_{12} & a_{22}b_{22} & a_{23}b_{32}\end{array}\right]
	l-by-m
	m-by-n