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terça-feira, 2 de fevereiro de 2021

COMPLEX OPERATIONS - EXERCISE LIST

 

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