Diagonalization provides an alternative method for computing the exponential of a complete matrix. (a) First show that
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(a) First show that if
D = diag(d1,... ,dn)
is a diagonal matrix, so is
etD = diag(etd1........etdn).
(b) When possible, use diagonalization to compute the exponentials of the matrices in Exercises 9.4.1-2.
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a Moreover at t 0 we have diag e 0d1 e 0dn I Therefore diag e td1 e td...View the full answer
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