• Q1 • Q2 • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q5 (c) • Q6 (a) • Q6 (b) • Q6 (c) • Q7 • Q8 (a) • Q8 (b) • Q8 (c) • Q8 (d) • Q8 (e) • Q9 (a) • Q9 (b) • Q9 (c) • QS201+203 10(a) • QS201+203 10(b) • QS201+203 10(c) • QS202 10(a) • QS202 10(b) • QS202 10(c) •
Question 06 (c) 

Consider the homogeneous system . Suppose that the Echelon form of A is given by
Construct an orthonormal basis for the solution space of the system 
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 

Science:Math Exam Resources/Courses/MATH221/April 2008/Question 06 (c)/Hint 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 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Using the GramSchmidt process, we have 