A be an n n matrix with eigenvalues 1 , . . . ,
Question:
A be an n × n matrix with eigenvalues λ1, . . . , λk, and B an m × m matrix with eigenvalues μ1, . . . , μl. Show that the (m + n) × (m + n) block diagonal matrix 
has eigenvalues λ1, . . . , λk, μ1, . . . , μl and no others. How are the eigenvectors related?
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To show that the block diagonal matrix DAOOB has eigenvalues 1 k 1 l and no others we need to show t...View the full answer
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