Matrix Diagonalization

Deconstructing a transformation: A = P D P⁻¹

Diagonalization Controls

Eigenvalues & Eigenvectors

Step 0: The Standard Space

L: M = I
R: M = I

This is the original, untransformed coordinate space. The Red and Blue lines represent the matrix's eigenvectors.

Direct Transformation (A)

Decomposition (P D P⁻¹)