Question

Calcule o determinante das matrizes:

Answer 1

Resposta:

a) Pela Regra de Sarrus:

$det\left[\begin{array}{ccc}2&-1&4\\3&0&-2\\5&2&-1\end{array}\right] = [2*0*(-1)]+[(-1)*(-2)*5]+[4*3*2]-[4*0*5]-[2*(-2)*2]-[(-1)*3*(-1)]=> 0+10+24-0+8-3=39$

det A = 39.

b) Matriz 2x2, tranquilo:

$det \left[\begin{array}{ccc}\frac{1}{2} &5\\-2&-8\end{array}\right] =[\frac{1}{2}*(-8)]-[5*(-2)] =6$

det B = 6