(a) Prove that if J0 n is an n x n Jordan block matrix with 0 diagonal entries, cf (8 49), then (b) Determine the exponential of a general Jordan block matrix J Icirc raquo ,n Use Exercise 9 4 14 (c) Explain how you can use the Jordan canonical form to compute the exponential of a matrix Use Exercise 9 4 27 0 0 0 0 0 1

Question: (a) Prove that if J0.n is an n x n Jordan block matrix with 0 diagonal entries, cf. (8.49), then (b) Determine the exponential of

(a) Prove that if J0.n is an n x n Jordan block matrix with 0 diagonal entries, cf. (8.49), then

(b) Determine the exponential of a general Jordan block matrix JÎ»,n Use Exercise 9.4.14.
(c) Explain how you can use the Jordan canonical form to compute the exponential of a matrix. Use Exercise 9.4.27.

0 0 0 0 0 1

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