Question: Let u and v be column vectors with the same number of components. Applying the definition of the matrix exponential (10.7), show that esuvt =

Let u and v be column vectors with the same number of components.

Applying the definition of the matrix exponential (10.7), show that esuvt

=

, I + suvt if vtu = 0 I + esvt u−1 vtu uvt otherwise Using this, compute the 2 × 2 matrix exponential exp s −α α
β −β
 , and find its limit as s → ∞.

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