Question

1)Calcule o valor dos seguintes determinantes: c) C = |3| d) D = 1 −1 2 2 E = −2 4 0 3 F = 1 2 1 3 3 4

Answer 1

Explicação passo-a-passo:

a)

$\sf det~(A)=1\cdot4-3\cdot2$

$\sf det~(A)=4-6$

$\sf det~(A)=-2$

b)

$\sf det~(B)=2\cdot7-3\cdot9$

$\sf det~(B)=14-27$

$\sf det~(B)=-13$

c)

$\sf det~(C)=3$

d)

$\sf det~(D)=1\cdot2-2\cdot(-1)$

$\sf det~(D)=2+2$

$\sf det~(D)=4$

e)

$\sf det~(E)=-2\cdot3-0\cdot4$

$\sf det~(E)=-6-0$

$\sf det~(E)=-6$

f)

$\sf det~(F)=\dfrac{1}{2}\cdot4-3\cdot\dfrac{1}{3}$

$\sf det~(F)=\dfrac{4}{2}-\dfrac{3}{3}$

$\sf det~(F)=2-1$

$\sf det~(F)=1$