Question

# Let K = C−1AB. Suppose v is an eigenvector of K. Find one eigenvector of A...

Let K = C−1AB. Suppose v is an eigenvector of K. Find one eigenvector of A and the related eigenvalue.

Given the data following that is if an V an eigen vector of C corresponding to the eigen value can ve determine that the corresponding to .

V is an eigen vector of A corresponding to .

By defination :

V is an eigen vector of B corresponding to Y.

By defination :

We have

Multiply both sides with A

By defination of eigen vector of AB M is an eigen value of AB. V is corresponding eigen vector .

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