Difference between revisions of "Multiplication with a scalar"
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{{Navigation|before=[[Matrices]]|overview=[[Matrices]]|next=[[The transpose of a matrix]]}} | {{Navigation|before=[[Matrices]]|overview=[[Matrices]]|next=[[The transpose of a matrix]]}} | ||
− | {{Exercise|Selftest:Matrix multiplication with a scalar}} | + | {{Exercise|Selftest: Matrix multiplication with a scalar}} |
− | A matrix is multiplied with a scalar by multiplying all the components with the scalar. The result is again a matrix:<br/><br/> | + | A matrix is multiplied with a scalar by multiplying all the components with the scalar. The result is again a matrix with the same dimensions:<br/><br/> |
:<math> | :<math> | ||
− | c \cdot \mathbf{A}=c\cdot\left[ | + | \mathbf{A} \cdot c =c \cdot \mathbf{A}=c\cdot\left[ |
\begin{array}{ccc} | \begin{array}{ccc} | ||
a_{11} & a_{12} & a_{13}\\ | a_{11} & a_{12} & a_{13}\\ | ||
Line 15: | Line 15: | ||
c\cdot a_{31} & c\cdot a_{32} & c\cdot a_{33} | c\cdot a_{31} & c\cdot a_{32} & c\cdot a_{33} | ||
\end{array}\right] | \end{array}\right] | ||
− | </math | + | </math> |
{{Example | {{Example |
Latest revision as of 18:03, 13 November 2015
← Back: Matrices | Overview: Matrices | Next: The transpose of a matrix → |
There are exercises as selftest for this article. |
A matrix is multiplied with a scalar by multiplying all the components with the scalar. The result is again a matrix with the same dimensions:
Example: Multiplying a matrix with a scalar
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