Respuesta :

To multiply matrices we multiply the first row of the matrix by the first column of the other matrix and add the results


For example we do 2*3 + 8*2. to get 22 as the top left number in our resulting matrix.


We do this for the other numbers in the resulting matrix with the following calculations


2*0 + 8*-1 = -8 (top right)

.6*3 + 3*2 = 7.8 (bottom left)

.6*0 + 3*-1 = -3 (bottom right)


So the answer is C.

[tex] \left[\begin{array}{ccc}2&8\\0.6&3\end{array}\right] \times \left[\begin{array}{ccc}3&0\\2&-1\end{array}\right] = \left[\begin{array}{ccc}2\times3 + 8\times2&2\times0 + 8\times(-1)\\0.6\times3 + 3\times2 &0.6\times0 + 3\times(-1)\end{array}\right] = \left[\begin{array}{ccc}22&-8\\7.8&-3\end{array}\right] [/tex]

Answer: C

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