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 . . 
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 

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 
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 

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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 