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Deffense [45]
3 years ago
13

Can someone please help me with this? Thank you!

Mathematics
1 answer:
kkurt [141]3 years ago
7 0

Answer:

\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right]

Step-by-step explanation:

In the first equality

5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],

the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so

5=\dfrac{2}{5}m\Rightarrow m=5\times \dfrac{5}{2}=\dfrac{25}{2}

For the second equality

(H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),

if H=[-2\ 3\ -1], then this equality represents the assotiative property of matrix addition.

Hence,

m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right]

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