Difference between revisions of "TDSM 8.1"

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(Created page with "a) <math> A = \begin{bmatrix} 1 & 2\\ 2 & 3 \end{bmatrix} </math>, <math> B = \begin{bmatrix} -4 & 1\\ 1 & 0 \end{bmatrix} </math> <math> \Rightarrow AB = BA = \begin{bma...")
 
 
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B =  
 
B =  
 
\begin{bmatrix}
 
\begin{bmatrix}
-4 & 1\\
+
1 & 0\\
1 & 0
+
0 & 1
 
\end{bmatrix}
 
\end{bmatrix}
 
</math>
 
</math>

Latest revision as of 21:34, 10 December 2020

a) [math] A = \begin{bmatrix} 1 & 2\\ 2 & 3 \end{bmatrix} [/math], [math] B = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix} [/math]

[math] \Rightarrow AB = BA = \begin{bmatrix} -2 & 1\\ -5 & 2 \end{bmatrix} [/math]

b) [math] A = \begin{bmatrix} 0 & 1\\ 0 & 0 \end{bmatrix} [/math], [math] B = \begin{bmatrix} 1 & 0\\ 0 & 0 \end{bmatrix} [/math]

[math] \Rightarrow AB = \begin{bmatrix} 0 & 0\\ 0 & 0 \end{bmatrix}, BA = \begin{bmatrix} 0 & 1\\ 0 & 0 \end{bmatrix} [/math]