Proof involving eigenvalues and eigenvectors
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If x is an eigenvector of the nxn matrix A, prove that bx is also an eigenvector.© BrainMass Inc. brainmass.com March 6, 2023, 1:14 pm ad1c9bdddf
Since x is an eigenvector of the nxn matrix A, we know that Ax=lamda*x.
Now consider multiplying both left sides by the scalar b. This yields ...
A step-by-step solution which shows that if x is an eigenvector of an nxn matrix, then bx is also an eigenvector. Word attachment included.