8/19/2019 Linear Algebra Assignment 1

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Assignment 1.

1. Perform the operation: (1 + 3i)(3 + i)3 

2. Write the number in the trigonometric form 31   i z    +−= ;

3. Use the Binomial theorem !rite the number (1 " 3i)# in the form a + bi

$. %ompute using &e 'oires formula 1*1+

)1(

)31(

i

i

+

−

#. ,in&+

3   i+− ;-. ole the follo!ing e/uation 012 =−++   i x x .

. raph the comple fourth roots of i−1  in the comple plane.