How to diagonalize a 2x2 matrix
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
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
In this video I show how to calculate the eigenvalues and eigenvectors of a 2x2 matrix A, and show how to find a diagonal matrix D and an invertible matrix P such that A =
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Since the 2 × 2 matrix A has two distinct eigenvalues, it is diagonalizable. To find the invertible matrix S, we need eigenvectors. Let us find the eigenvectors corresponding to the
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