Consider the 2 x 2 matrix A and let A (ad) 4bc Then show that (a) A is diagonalizable if A 0 (b) A is not diagonalizable if A 0 (c) If A 0, then A may be diagonalizable or it may not be Hint compute the zeros of the characteristic polynomial of A To solve c) provide one example for either situation Problem 9 3 Let A be a diagonalizable matrix Show that the eigenvalues of A2 are the squares of the eigenvalues of A, but that both A and 4 have the same eigenvectors

Question: Consider the 2 x 2 matrix A = [] and let A (ad) + 4bc. Then show that = (a) A is diagonalizable if

Consider the 2 x 2 matrix A = [] and let A (ad) + 4bc. Then show that = (a) A is diagonalizable if A > 0. (b) A is not diagonalizable if A

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To prove the given statements lets analyze each part separately a A is diagonalizable if Delta 0 For a 2x2 matrix A a b c d the characteristic polynom... View full answer

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