Question: Let A be an n à n matrix with eigenvalues λ1,..., λk. and B an m à m matrix with eigenvalues μ1, ..., μ1. Show

Let A be an n × n matrix with eigenvalues λ1,..., λk. and B an m × m matrix with eigenvalues μ1, ..., μ1. Show that the (m + n) x (m + n) block diagonal matrix
Let A be an n × n matrix with eigenvalues

has eigenvalues λ1, ..., λk, μ1, ..., μ1 and no others. How are the eigenvectors related?

A O 9 D=

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