Algebra Know-It-ALL

572 Final Exam

We can conclude that the original three-by-three system has

(a) no solutions.

(b) one solution.

(c) two solutions.

(d) three solutions.

(e) infinitely many solutions.

104. Are the expressions 2 +j2 and 2 +j^2 different? If so, how?
     (a) These two expressions look different, but they actually represent the same number.
     (b) The first expression represents a complex (but not real) number. The second
     expression represents a real number.
     (c) The first expression represents a real number. The second expression represents a
     complex (but not real) number.
     (d) The first expression represents a pure imaginary number. The second expression
     represents a number that is neither pure real nor pure imaginary.
     (e) The first expression represents a complex number that is neither pure real nor pure
     imaginary. The second expression represents a pure imaginary number.


105. In Fig. FE-10, what do all the numbers corresponding to points on the circle have in
     common?
     (a) They are all pure real numbers.
     (b) They are all pure imaginary numbers.
     
     
     • 6 - 4 - 2 246
     
     
     
     

j 6

j 4

j 2

• j 2
  
  
  • j 4
  
  
  
  


• j 6

a

jb

(0,j3)

representing

0 + j 3

Circle

centered

at origin

Figure FE-10 Illustration for Final Exam Question 105.