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What is an eigenvalue?
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An eigenvalue of a square matrix A is a number r that, when subtracted from each of the diagonal elements of A, converts A into a singular matrix. Since A is singular iff its determinant is zero, we can calculate eigenvalues fo A by solving the characteristic equation:
det(A-rI) = 0, where I is the identity matrix and det(A-rI) is the characteristic polynomial of A. |
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