Mathematics, 17.07.2019 19:30 tubby3229
What are the values of m and n in the matrix addition below
Answers: 2
![\left[\begin{array}{ccc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{ccc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{ccc}10&6\\-3&40\end{array}\right]\\\left[\begin{array}{ccc}n-1+(-1)&6+0\\-19+16&m+3+(-8)\end{array}\right] =\left[\begin{array}{ccc}10&6\\-3&40\end{array}\right]\\\left[\begin{array}{ccc}n-2&6\\-3&m-5\end{array}\right] =\left[\begin{array}{ccc}10&6\\-3&40\end{array}\right]\\\Downarrow\\n-2=10\ \wedge\ m-5=40\\\boxed{n=12\ \wedge\ m=45}](/tpl/images/0101/2776/bf36e.png)
![\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](/tpl/images/0101/2776/2361b.png)
![\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]](/tpl/images/0101/2776/a1a35.png)
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