2. Consider the following matrix and vectors. -) --() --(1) (:) --() -7 12 -18 B –18 23 -30 v1 = 2 (a) Show that vị and v2 are eigenvectors of B and find the corresponding eigenvalues. (b) Express v3 = в'0 03- [0, –4, –4]T as a linear combination of vi and v2, and hence compute
2. Consider the following matrix and vectors. -) --() --(1) (:) --() -7 12 -18 B –18 23 -30 v1 = 2 (a) Show that vị and v2 are eigenvectors of B and find the corresponding eigenvalues. (b) Express v3 = в'0 03- [0, –4, –4]T as a linear combination of vi and v2, and hence compute
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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So this should be a rather simple question as I've done most of the work for it, and I'm just confused as to the meaning of one simple part of the problem. On the third problem second part, I'm simply confused as to what B^10 is referring to, I've done the rest of the problem, and if it's simply B*v3 that's rather simple, but the B^10 has me paused, and I can't find anywhere in my notes as to what this denotes. Thank you!
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