Let A be a 4 4 matrix with real entries that has all 1 's on the main diagonal (i e , a11 a22 a33 a44 1) If A is singular and 1 3 2i is an eigenvalue of A, then what, if anything, is it possible to conclude about the values of the remaining eigenvalues 2, 3, and 4 Explain

Question: Let A be a 4 4 matrix with real entries that has all 1's on the main diagonal (i.e., a11 = a22 = a33

Let A be a 4 × 4 matrix with real entries that has all 1's on the main diagonal (i.e., a11 = a22 = a33 = a44 = 1). If A is singular and λ1 = 3 + 2i is an eigenvalue of A, then what, if anything, is it possible to conclude about the values of the remaining eigenvalues λ2, λ3, and λ4? Explain.

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