MATH221 April 2009
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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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To find the coordinate vector of relative to the basis of , we place the basis for and the coordinate vector in an augmented matrix
R1-R2 R2-R1 R3-R2 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