Linear Algebra: why is the third order real symmetric matrix A, R (a-2e) = 1, so 2 is the double eigenvalue of a?
Because R (a-2e) = 1
So there are 3-1 = 2 linearly independent eigenvectors of a which belong to eigenvalue 2
A is a real symmetric matrix, and the k-fold eigenvalues have K linearly independent eigenvectors
SO 2 is the double eigenvalue of A
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