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Back to Diagonalizability

Exercise 13

Avg difficulty 3.0

We can ask how diagonalization interacts with the matrix operations. Assume that t,s ⁣:V→Vt,s\colon V\to V are each diagonalizable. Is ctct diagonalizable for all scalars cc? What about t+st+s? t∘st\mathbin{\circ}s?

Hefferon, Linear Algebra, Similarity, Diagonalizability, Exercise 13

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.