Question

dados os complexos z2=-1-3i,z2=2i e z3=1-i,determine:a)z1+z2 b)z2.z3 c)z1.z3

Answer 1

$Z_{1} = -1-3i \\ Z_{2} = 2i \\ Z_{3} = 1-i$

a) $Z_{1} + Z_{2}$

(-1-3i ) + (2i)
-1 - 3i + 2i
-1 - i.(3-2)
-1-i

b) $Z_{2} .Z_{3}$

(2i) . (1-i)
2i . (1-i)
2i . 1 - 2i . i
2i - 2i²
2i - 2.(-1)
2i +2

c) $Z_{1} .Z_{3}$

(-1-3i) . (1-i)
-1 + i - 3i + 3i²
-1 + i - 3i + 3.(-1)
-1 + i - 3i - 3
-4 - 2i