Find wB5I1 If w is an eigenvector of B corresponding to eige

Find w(B-5I)^-1, If w is an eigenvector of B corresponding to eigenvalue 2.
Find w(B-5I)^-1, If w is an eigenvector of B corresponding to eigenvalue 2.

Solution

Bw=2w

(Bw-5w)=-3w

(B-5I)w=-3w

Hence, (B-5I)^{-1}(B-5I)w=-3(B-5I)^{-1}w

So,

(B-5I)^{-1}w=-w/3

 Find w(B-5I)^-1, If w is an eigenvector of B corresponding to eigenvalue 2. Find w(B-5I)^-1, If w is an eigenvector of B corresponding to eigenvalue 2.Solution

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