(a) Find the eigenvalues, eigenvectors and eigenspaces forA =1 0 53 6 02 0 10(b) Calculate the determinant and trace of A directly and using eigen-values.
Question
Solution 1
Sure, let's solve this step by step.
(a) To find the eigenvalues of the matrix A, we need to solve the characteristic equation, which is given by det(A - λI) = 0, where I is the identity matrix and λ are the eigenvalues.
The matrix A - λI is:
A - λI = [1-λ 0 5]
[3 6-λ 0]
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