Science:Math Exam Resources/Courses/MATH221/April 2009/Question 11 (c)
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Question 11 (c) 

Let Find a matrix P such that is diagonal, if it exists. If such a P does not exist, explain why. (No need to find ) 
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Hint 

Science:Math Exam Resources/Courses/MATH221/April 2009/Question 11 (c)/Hint 1 
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Solution 

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To Find a matrix P such that is diagonal, we need to find the matrix P formed by the eigenvectors of A. Using Matlab commands to find the eigenvectors, we write [V,L]=eig(A). Then we have V = Since V is formed by the eigenvectors of A, the matrix P = V. 