Homework Sourseb Let B be an n x n matrix whose eigenvalues are 1 2 3 3 Wha
b) Let B be an n x n matrix whose eigenvalues are 1, 2, -3, 3. What are the eigenvalues of (B^2)-B + I ?
b) Let B be an n x n matrix whose eigenvalues are 1, 2, -3, 3. What are the eigenvalues of (B^2)-B + I ?
Solution
Eigenvalues of B = 1, 2, -3, 3
Eigenvalues of B2 = 1, 4, 9, 9
Eigenvalues of I = 1, 1, 1, 1
Eigenvalues of B2-B+I = 1-1+1, 4-2+1, 9+3+1, 9-3+1 = 1, 3, 13, 7
