1 votes 1 votes If B has eigenvalues 1, 2, 3, C has eigenvalues 4, 5, 6, and D has eigenvalues 7, 8, 9, what are the eigenvalues of the 6 by 6 matrix A =[ B C , 0 D] ? Linear Algebra gilbert-strang linear-algebra engineering-mathematics + – sarika asked Jul 5, 2017 • reshown Jul 5, 2017 by sarika sarika 1.2k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes $det\left \{ \begin{pmatrix} B & C \\ 0 & D \end{pmatrix}-\lambda I \right \} = 0$ This must hold. Now, (B-$\lambda$)(D-$\lambda$) = 0 this will give eigen values of A which is eigen values of B and D (i.e 1, 2, 3, 7, 8,9) vijay_jr answered Jul 8, 2017 vijay_jr comment Share Follow See all 0 reply Please log in or register to add a comment.