COMPLEX OPERATIONS - EXERCISE
LIST
1. Calculate the
following sums:
a) (2 + 5i) + (3 +
4i)
b) i + (2 - 5i)
2. Calculate the
differences:
a) (2 + 5i) - (3 +
4i) b) (1 + i) - (1 - i)
3. Calculate the following
products:
a) (2 + 3i) (3 - 2i)
b) (1 + 3i) (1 + i)
4. Write the
symmetric of the following complex numbers:
a) 3 + 4i
b) -3 + i
c) 1 - i
d) -2 + 5i
5. Write the
conjugates of the following complex numbers:
a) 3 + 4i
b) 1 - i
6. Perform the following
divisions of complex numbers:
a)
b)
7. Calculate the
powers:
a)
b)
8. If z = ( - 5m + 6) + (
- 1) .i, determine m so that z is a pure imaginary.
9. Determine the real
part of the complex number z = .
10. Calculate the
complex number