Section 6.1 Eigenvalues and Eigenvectors: Problem 13 (1 point) For which value of k does the matrix A = [[-6, k], [5, -5]] have one real eigenvalue of algebraic multiplicity 2? k = 29/25
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This means that the characteristic polynomial of A has a repeated real root. The characteristic polynomial of A is given by det(A - λI), where I is the identity matrix and λ is the eigenvalue we are trying to find. So, we need to find the value of k such that Show more…
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