LetJ = 0 00 10 0 ,where is an arbitrary real number.(a)
Chapter 7, Problem 21(choose chapter or problem)
LetJ = 0 00 10 0 ,where is an arbitrary real number.(a) Find J2, J3, and J4.(b) Use an inductive argument to show thatJn =n 0 00 n nn10 0 n .(c) Determine exp(Jt).(d) Observe that if you choose = 1, then the matrix J in this problem is the same asthe matrix J in 19(f). Using the matrix T from 19(f), form the productT exp(Jt) with = 1. Is the resulting matrix the same as the fundamental matrix (t) in 19(e)? If not, explain the discrepancy.
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