Question

Calcule os seguintes determinantes:

Answer 1

Explicação passo-a-passo:

a)

$A=\left[\begin{array}{ccc}5&4\\6&9\\\end{array}\right]$

$detA=5.9-4.6\\\\detA=45-24\\\\detA=21$

b)

$B=\left[\begin{array}{ccc}0&-6\\8&14\\\end{array}\right]$

$detB=0.14-(-6).8\\\\detB=0+48\\\\detB=48$

c)

$C=\left[\begin{array}{ccc}3&-3\\-1&9\\\end{array}\right]$

$detC=3.9-(-3).(-1)\\\\detC=27-3\\\\detC=24$

d)

$D=\left[\begin{array}{ccc}1&2&4\\3&2&1\\2&0&4\end{array}\right]$

$detD=1.2.4+2.1.2+4.3.0-4.2.2-1.0.1-4.2.3\\\\detD=8+4-16-24\\\\detD=-28$

e)

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

$detE=5.(-2).3+2.(-1).5+3.1.2-3.(-2).5-(-1).2.5-3.2.1\\\\detE=-30-10+6+30+10-6\\\\detE=0$