Science:Math Exam Resources/Courses/MATH152/April 2011/Question B 06 (a)
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Question B 06 (a) 

Consider the linear systems described below. In cases (a)(d), write a single, possible reduced row echelon form of the augmented matrix of the system. Two equations in two unknowns with unique solution

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 that a unique solution implies there are no free variables; all pivots are 1. 
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. For a vector x, with components and , the unique solution is Since there is a unique solution all pivots must be 1. Since we have two equations in two unknowns we have 2 rows and 2 columns. Therefore the augmented matrix would look like 