Mathematics, 26.11.2019 21:31, moraleserica011

Supppose a is an invertible n\times n matrix and v is an eigenvector of a with associated eigenvalue -3. convince yourself that v is an eigenvalue of the following matrices, and find the associated eigenvalues:
1. \ a^6, \ eigenvalue = ,
2. \ a^{-1}, \ eigenvalue = ,
3. \ a + 5 i_n, \ eigenvalue = ,
4. \ 6 a, \ eigenvalue = .

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Supppose a is an invertible n\times n matrix and v is an eigenvector of a with associated eigenvalue...