diagnolize the matrix
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We want to diagonalize the matrix if possible.
Step 1: Find the characteristic polynomial. ...
Step 2: Find the eigenvalues. ...
Step 3: Find the eigenspaces. ...
Step 4: Determine linearly independent eigenvectors. ...
Step 5: Define the invertible matrix S. ...
Step 6: Define the diagonal matrix D. ...
Step 7: Finish the diagonalization.
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see the example and definition of diagnolize the matrix in attachment.
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