Science:Math Exam Resources/Courses/MATH221/April 2009/Question 09 (c)
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Question 09 (c) 

Consider the matrix
c) Find the coordinate vector of relative to the basis of which you found in part b 
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Hint 

Science:Math Exam Resources/Courses/MATH221/April 2009/Question 09 (c)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. To find the coordinate vector of relative to the basis of , we place the basis for and the coordinate vector in an augmented matrix
R1R2 R2R1 R3R2 R2 divided by 3 R1+R2
so we have x1 = 1/3 x2 = 2/3 Thus, the coordinate vecctor of relative to basis of is 