MATH221 December 2009
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Question 10 (b)
Find the numbers b,c which make the matrix below diagonalizable. (No need to diagonalize them.)
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Now let’s find the eigenvalues of b
Solve the equation above to get As similar to a, we need to make sure both eigenvalues have exactly 2 corresponding eigenvectors. When
In order to get 2 free variables, we need to set Thus When
In order to get 2 free variables, we need to set Thus
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MER CH flag, MER QGQ flag, MER RS flag, MER RT flag, MER Tag Eigenvalues and eigenvectors