SIT199-Applied Algebra And Statistics - Science & Math's Assignment Help

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Assignment Task


Task 

Problem Solving Task 1: Functions, Complex Numbers, And Systems Of Linear Equations

 

Instructions
This is an individual assignment. The aim of the assignment is that the student applies concepts and methods studied in weeks 1-4 to solve problems on functions, complex numbers, and systems of linear equations.
The assignment has a value of 104 points and is worth 20% of the unit marks. It consists of six problems that are to be solved, including one problem for those students aiming a D in the unit and one problem for those students aiming a HD grade in the unit. A student aiming a D in the unit should attempt the first four problems plus the “D” problem, while a student aiming a HD in the unit should attempt all the problems. A student should attempt all problems he/she can solve.

 

Solve the equation 75 = 100 1+3e?2t exactly.

 

Find the exact value of arcsin sin( 7? 3 )

 

Find the cubic roots of ? 3 + i ? 5, namely all the complex numbers z such that z 3 = ? 3 + i ? 5. Express the roots in Cartesian form.

 

Write the system as Ax = b for some matrix A and a vector b

 

 trajectory of a certain astronomical object.

 

 investigate Gaussian elimination of matrices with complex entries


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