Science:Math Exam Resources/Courses/MATH152/April 2022/Question A16
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Question A16 

Solve the system of equations corresponding to the augmented matrix You may assume that the unknown variables are , . Simplify your final answers , to the form . 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Recall how complex multiplication works. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The tricky part of this question is the multiplication of complex numbers, otherwise it’s a straightforward system of equations! Above the arrows below, we use the notation for the rowoperation "add times row to row ." We have: and . 