16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 6.5.2

Elementary Canonical Forms

Mathematics — Linear Algebra · commuting-family-size

Problem

Let F\mathfrak{F} be a commuting family of 3×33 \times 3 complex matrices. How many linearly independent matrices can F\mathfrak{F} contain? What about the n×nn \times n case?

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