We say that an nxn matrix A is triangulizable if A is similar to an upper triangular nxn
Chapter 8, Problem 45(choose chapter or problem)
We say that an nxn matrix A is triangulizable if A is similar to an upper triangular nxn matrix B. a. Give an example of a matrix with real entries that fails to be triangulizable over R. b. Show that any nxn matrix with complex entries is triangulizable over C. CHint: Give a proof by induction analogous to the proof of Theorem 8.1.1.)
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