Question

calcule o determinante das matrizes a seguir​

Answer 1

Explicação passo-a-passo:

a)

$A=\left[\begin{array}{ccc}-3&-2\\2&\frac{1}{2} \\\end{array}\right]$

$detA=-3.\frac{1}{2} -(-2).2\\\\detA=\frac{-3}{2}+4\\ \\detA=\frac{5}{2}$

b)

$B=\left[\begin{array}{ccc}13&7\\11&5\\\end{array}\right] \\\\detB=13.5-7.11\\\\detB=65-77\\\\detB=-12$

c)

$C=\left[\begin{array}{ccc}3i&1\\5&2\\\end{array}\right]$

$detC=3i.2-1.5\\\\detC=-5+6i$

Answer 2

Resposta:

Vamos lá

De forma fácil, temos:

$\left[\begin{array}{cc}-3&-2\\2&\frac{1}{2} \\\end{array}\right] \\\\D=-\frac{3}{2} - (-4)\\\\D=-\frac{3+8}{2}\\\\D=\frac{5}{2}\\\\\\\left[\begin{array}{cc}13&7\\11&5\\\end{array}\right] \\\\D=65 - 77\\\\D=-12\\\\\\\left[\begin{array}{cc}3i&1\\5&2\\\end{array}\right] \\\\D=6i - 5$