Suppose that O1 and O2 are eigenfunctions of a linear operator A with eigenvalues a1 and a2, respectively, and that we construct a linear combination Y=C1O1 + C2O2. Under what conditions does Y became an eigenfunction of A? Show reasoning.© BrainMass Inc. brainmass.com October 9, 2019, 3:47 pm ad1c9bdddf
In any relationship of the type AF = aF, where F is a function, A is an operator and a is a number, F is said to be an eigenfunction of the operator A with eigenvalue equal ...
The expert analyzes the eigenfunctions of a linear operator. Linear combinations of functions and their conditions are given.