4) Â₁ = O O 1 O Find the eigenvalues and the normalized eigenbets 00 of the operator Â
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- If the eigen values are real and equal, and there are two intependent eigen vedors and the eigen values are equilibrium pont s portive then theFind the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix -1 3 -1 3 A 3 -1 3 -1 d1 = has associated orthonormal eigenvectors || ||7.'., Given A = Find the eigenvalues and eigenvectors of matrix A
- Define the concept of Automatic Calculation of Eigenvalues and Eigenvectors?the matrix A= }] has eigenvalues A₁ = 1 and A₂ = 5. The bases of the eigenspaces are v₁ = -12 Find an invertible matrix S and a diagonal matrix D such that S-¹AS = D. S= D= and v₂ = , respectively8) Find all eigenvalues of the matrix A' A and show that the corresponding eigenvectors are orthogonal. A = 21 (12)