Define eigenfunctions of a linear operator

Reference no: EM13129008

Eigenfunctions of a linear operator

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.

Reference no: EM13129008

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