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Worksheet: Introduction to Complex Numbers
Q2:
What is the value of ?
Q3:
The complex numbers are a field in part because .
- A is a real vector space
- B
- C for all
- Dfor every non-zero there is a such that
Q4:
What is the value of ?
Q5:
What is the real part of the complex number ?
Q6:
Which of the following statements will be true of two equal complex numbers?
- ATheir real parts will not be equal and their imaginary parts will be equal.
- BTheir real parts will be equal and their imaginary parts will not be equal.
- CTheir real parts will not be equal and their imaginary parts will not be equal.
- DTheir real parts will be equal and their imaginary parts will be equal.
Q7:
True or False: Any real number is also a complex number.
- ATrue
- BFalse
Q8:
Simplify .
- A1
- B
- C
- D
Q9:
What type of number is ?
- Apurely imaginary
- Breal
- Ccomplex
Q10:
Add 4 to .
- A
- B
- C
- D
- E
Q11:
If is an imaginary number, what is the value of ?
Q12:
If , which of the following statements is correct?
- A ,
- B ,
- C ,
- D ,
- E ,
Q13:
What is the imaginary part of the complex number ?
Q14:
Is the following statement true or false: Any complex number is also a real number.
- Afalse
- Btrue
Q15:
If is a real number, what is the value of ?
Q16:
What is the value of ?
- A
- B
- C1
- D
Q17:
Is the following statement true or false: Any imaginary number is also a complex number.
- Atrue
- Bfalse
Q18:
If , what is ?