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  3. .let m = (6 6). 12 33 a) calculate det(m) . what d

.Let M = (6 6). 12 33 A) Calculate det(M) . What does this tell you about...

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Advance Math

.Let M = (6 6). 12
33
A) Calculate det(M) . What does this tell you about M(?),where ? is the unit square: 0? ? ? 1, 0 ?
? ? 1.
B) Find the eigenvalues and associated eigenspaces for M. C)Find an eigenbasis for R2 using M.
D) Find C and C-1 such that C-1MC = D is diagonal.
E) Use D) to calculate Mn.
F) Use D) to calculate eMt.
G) Find lim Mn [1] ??? 1
H) Describe what happens to Mn[1] as n->?. 0
I) Describe what happens to eMt as t->?

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