Science:Math Exam Resources/Courses/MATH152/April 2017/Question A 25
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Question A 25 

A matrix is entered into MATLAB. The eigenanalysis of is performed using the command [T D] = eig(A) which gives the following results: T = 0.5257 0.0995 0.8507 0.9950 D = 1.0000 0 0 3.0000 Using these results, determine . . 
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Hint 

It is important to know how the eig command works. The matrix T consists of the eigenvectors of A, normalized so that each eigenvector has length 1. Thus A has the diagonalization 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The eig() command returns the eigenvalues and eigenvectors of the matrix A. Therefore, the columns of T are the eigenvectors of A, normalized to have length 1, and the eigenvectors of A are 1 and 3. It is possible to compute the matrix using the formula 
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