Equivalent statements to matrix A is orthogonal

CAVision · Sep 17, 2013

A is orthogonal if the A[itex]^{-1}[/itex] = A[itex]^{T}[/itex].

Thus, AA[itex]^{T}[/itex] = I.

However, is the statement A is orthogonal equivalent to A[itex]^{2}[/itex]=I.

I don't think the statements are equivalent, but it comes from a test. Thus, I'd hope the test is correct.

UltrafastPED · Sep 17, 2013

Multiply both sides of the A^2=I expression by A^-1 and see what you get.

From that expression you will be able to see the relationship required for both to be true.

Equivalent statements to matrix A is orthogonal

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

Undergrad Why are these cycles disjoint and of equal length?

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

Equivalent statements to matrix A is orthogonal

Similar threads