Question

determinantes de una matriz
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Answer 1

Hola.

Determinante de una matriz

det (C) = diagonal principal - diagonal secundaria

Nos queda

$C = \left[\begin{array}{ccc}1/2&-2\\3/4&4\\\end{array}\right]$

$det(C) = (\frac{1}{2}*4)-(-2*\frac{3}{4})$

$det(C) = (\frac{4}{2})-(-\frac{6}{4})$

$det(C) = \frac{4}{2}+\frac{6}{4}$            $(\frac{6}{4}=\frac{3}{2})$

$det(C) = \frac{4}{2} + \frac{3}{2}$

$det(C) = \frac{7}{2} = 3.5$   =====> Respuesta

Un cordial saludo.