Linear Algebra

Matrix Diagonalization (A = PDP⁻¹)

Diagonalize a 2×2 or 3×3 matrix: find P (eigenvectors as columns) and D (eigenvalues on diagonal). Verify PDP⁻¹ = A.

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Matrix A

Diagonalization Result

Enter a matrix and click Diagonalize.

P, D, P⁻¹ Matrices

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Matrix Grids: P · D · P⁻¹

Step-by-Step Solution

Steps will appear here after computing.