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3.1 Übungen

Aus Online Mathematik Brückenkurs 2

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Version vom 08:21, 17. Sep. 2008

       Theory          Exercises      

Exercise 3.1:1

Write in the form a+bi, where a and b are real numbers

a) (5−2i)+(3+5i) b) 3i−(2−i)
c) i(2+3i) d) (3−2i)(7+5i)
e) (1+i)(2−i)2 f) i20+i11

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Exercise 3.1:2

Write in the form a+bi, where a and b are real numbers,

a) 1+i3−2i b) 3i4−6i−1+i3+2i
c) 1+i3(2−i3)2 d) 5−11+i3i+i2−3i

Answer | Solution a | Solution b | Solution c | Solution d

Exercise 3.1:3

Determine the real number a such that the expression  3+i2+ai  becomes purely imaginary (i.e. the real part equals zero).


Answer | Solution

Exercise 3.1:4

Solve the equations

a) z+3i=2z−2 b) (2−i)z=3+2i
c) iz+2=2z−3 d) (2+i)z=1+i
e) z+iiz+1=3+i f) (1+i)z+iz=3+5i

Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/3.1_%C3%9Cbungen“