Mathematics, 29.02.2020 00:48 batmanmarie2004
Let Aequals=[Start 2 By 2 Matrix 1st Row 1st Column 4 2nd Column 2 2nd Row 1st Column negative 1 2nd Column 2 EndMatrix ]4 2 −1 2 and Bequals=[Start 2 By 2 Matrix 1st Row 1st Column 2 2nd Column 4 2nd Row 1st Column negative 2 2nd Column k EndMatrix ]2 4 −2 k . What value(s) of k, if any, will make ABequals=BA?
Answers: 2
![A=\left[\begin{array}{ccc}4&2\\-1&2\end{array}\right]](/tpl/images/0528/7933/eeb70.png)
![B=\left[\begin{array}{ccc}2&4\\-2&k\end{array}\right]](/tpl/images/0528/7933/48cc5.png)
, that will make 
.
![AB=\left[\begin{array}{ccc}4&2\\-1&2\end{array}\right]\times \left[\begin{array}{ccc}2&4\\-2&k\end{array}\right]](/tpl/images/0528/7933/730c3.png)
![AB=\left[\begin{array}{ccc}4&16+2k\\-6&-4+2k\end{array}\right]](/tpl/images/0528/7933/eaf9c.png)
![BA=\left[\begin{array}{ccc}2&4\\-2&k\end{array}\right]\times \left[\begin{array}{ccc}4&2\\-1&2\end{array}\right]](/tpl/images/0528/7933/1afd7.png)
![BA=\left[\begin{array}{ccc}4&12\\-8-k&-4+2k\end{array}\right]](/tpl/images/0528/7933/8e8cd.png)
![\left[\begin{array}{ccc}4&16+2k\\-6&-4+2k\end{array}\right]=\left[\begin{array}{ccc}4&12\\-8-k&-4+2k\end{array}\right]](/tpl/images/0528/7933/261be.png)
should be equal. As other two values are equal that are 
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Let Aequals=[Start 2 By 2 Matrix 1st Row 1st Column 4 2nd Column 2 2nd Row 1st Column negative 1 2nd...
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