advanced-linear-algebra

The matrix exponential

taught

e^{tA}, defined by the same power series as the scalar exponential -- computed in practice via the S+N split (chapter 07), reducing to an easy diagonal part times a finite polynomial in the nilpotent part.

Taught in

The matrix exponential
Advanced Linear Algebra

Requires

functions-of-a-general-matrix-via-jordan-blocks required
jordan-chevalley-decomposition required

Required by

Linear systems x' = Ax, stability, and phase portraits required
Matrix logarithms and square roots required

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