Question

Dadas as matrizes M= [-4 1][3 2] e N= [2 0][1 -2],determine o elemento C12 da matriz C=M.Nt

Answer 1

Primeiro, vou representar essas matrizes:

$M = \left[\begin{array}{cc}-4&1\\3&2\end{array}\right]$

$N = \left[\begin{array}{cc}2&0\\1&-2\end{array}\right]$

$N^{t} = \left[\begin{array}{cc}2&1\\0&-2\end{array}\right]$

  Efetuando a multiplicação e definindo a matriz C:

$\left[\begin{array}{cc}-4&1\\3&2\end{array}\right] * \left[\begin{array}{cc}2&1\\0&-2\end{array}\right] = \left[\begin{array}{cc}-8+0&-4-2\\6+0&3-4\end{array}\right] = \left[\begin{array}{cc}-8&-6\\6&-1\end{array}\right] = C$

O elemento da matriz C localizado na primeira linha e segunda coluna é: C12 = -6

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