Eigenkets is just the "quantum mechanical" name for eigenvectors. So you find the eigenvectors, and then make them orthonormal (e.g. apply the Gram-Schmidt orthonormalisation process)

Calculating Eigenkets from Matrix w/ Orthonormal Basis

Discussion

High School Interesting paper on QM in Scientific American

Undergrad ##r-##independent angular momentum in quantum mechanics

High School Seemingly odd quantum tunneling

Undergrad What empirical observation supports the axiom of continuous spacetime?

Graduate Exact symmetry, quantum states, and symmetric dynamics

Graduate Avalanche photon detectors

Undergrad A Dataset & Signal Analysis Interpretation of Quantum Mechanics

High School Two/three photon absorption chemical substance producing photons for electricity generation

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

Calculating Eigenkets from Matrix w/ Orthonormal Basis

Discussion

Similar threads

Graduate Orthonormal Basis: Show A is Self-Adjoint

Undergrad Proof that if T is Hermitian, eigenvectors form an orthonormal basis

Undergrad Calculating group representation matrices from basis vector/function

Graduate Matrix Elements of Operators & Orthonormal Basis Sets

Orthonormal Basis times a real Matrix

Graduate Representing a vector in terms of eigenkets in a continuos basis

Undergrad How to Construct an Orthonormal Basis for a 2D Subspace in Linear Algebra?

Graduate Orthonormal basis and operators

Graduate Orthonormal Basis in General Relativity - Carroll

Undergrad Expanding a given vector into another orthonormal basis