Eigenvalues of a matrix S = 32are 5 and 1.23What are the

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Eigenvalues of a matrix S = 3 2 are 5 and 1.
2 3

What are the eigenvalues of the matrix S² = SS?

1. 1 and 25
2. 6 and 4
3. 5 and 1
4. 2 and 10

Correct Option: A

For S matrix, if eigen values are λ₁, λ₂, λ₃,... then for S² matrix, the eigen values will be λ²₁ λ²₂ λ²₃ ,, ,....
For S matrix, if eigen values are 1 and 5 then for S² matrix, the eigen values are 1 and 25