scholesmu
- 3
- 0
A= (3 0
0 3 )
why is it diagonalizable?
i'm not sure...
0 3 )
why is it diagonalizable?
i'm not sure...
The matrix A = (3 0; 0 3) is diagonalizable because it is already in diagonal form. Since all the eigenvalues are equal (λ = 3), the matrix has a complete set of linearly independent eigenvectors. Therefore, A can be expressed as PDP⁻¹, where P is the matrix of eigenvectors and D is the diagonal matrix of eigenvalues.
PREREQUISITESStudents and professionals in mathematics, particularly those studying linear algebra, as well as anyone involved in computational mathematics or engineering applications requiring matrix analysis.