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How to diagonalize a matrix 2x2

These can be very helpful when you're stuck on a problem and don't know How to diagonalize a matrix 2x2.

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Diagonalization of Matrices

The steps to diagonalize a matrix are: Find the eigenvalues of the matrix. Calculate the eigenvector associated with each eigenvalue. Form matrix P, whose columns are the
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Diagonalization

Example of a matrix diagonalization Step 1: Find the characteristic polynomial Step 2: Find the eigenvalues Step 3: Find the eigenspaces Step 4: Determine linearly independent eigenvectors

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