Diagonalization of square matrix if not all eigenvalues are distinct of

Uncle_John · Sep 7, 2011

Is it possible to diagonalize such matrix? and how would one do it?

micromass · Sep 7, 2011

Yes, it is possible to diagonalize such a matrix. One has to find the eigenspaces and a basis for the eigenspaces. Take all the basisvectors for the eigenspaces, if they span the entire space, then the matrix is diagonalizable.
Taking all the basis eigenvectors as a basis gives you the required diagonal matrix.

Diagonalization of square matrix if not all eigenvalues are distinct of

Undergrad The vector to which a dual vector corresponds

Undergrad Spinor calculus

Undergrad Matrix representation of rank-2 spinors

Undergrad Looking for a paper about spinors

On the Moore–Penrose inverse from a banal linear algebra viewpoint

On the Moore–Penrose inverse from a banal linear algebra viewpoint

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Diagonalization of square matrix if not all eigenvalues are distinct of

Similar threads