Matrix:

Eigenvalues:

Steps to Calculate Eigenvalues and Eigenvectors:

  1. Start with the matrix A, and subtract λI (where λ is a scalar and I is the identity matrix) from A:
    2.                     A - λI
  2. Calculate the determinant of (A - λI) and set it equal to zero:
    3.                     det(A - λI) = 0
  3. Solve for λ to find the eigenvalues.
  4. For each eigenvalue, substitute it back into the equation (A - λI)x = 0 to find the corresponding eigenvector(s).