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how to multiply a 2 by 2 matrix to a 2 by 1 matrix

 Sep 11, 2014

Best Answer 

 #1
avatar+118654 
+5

2*2  x  2*1   is doable because the 2 middle numbers are the same.  and the resultant matrix will be 2*1 (the outer numbers.  

 

$$\begin{pmatrix}
1 &2 \\
3 & 4
\end{pmatrix}
\times %
\begin{pmatrix}
5 \\
6
\end{pmatrix}
=%
\begin{pmatrix}
1*5+2*6 & \\
3*5+4*6 &
\end{pmatrix}
=%
\begin{pmatrix}
17 \\
39
\end{pmatrix}$$

 Sep 11, 2014
 #1
avatar+118654 
+5
Best Answer

2*2  x  2*1   is doable because the 2 middle numbers are the same.  and the resultant matrix will be 2*1 (the outer numbers.  

 

$$\begin{pmatrix}
1 &2 \\
3 & 4
\end{pmatrix}
\times %
\begin{pmatrix}
5 \\
6
\end{pmatrix}
=%
\begin{pmatrix}
1*5+2*6 & \\
3*5+4*6 &
\end{pmatrix}
=%
\begin{pmatrix}
17 \\
39
\end{pmatrix}$$

Melody Sep 11, 2014

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