6. M = 2 -7 1-6 a. Find the characteristic polynomial and eigenvalues of M. b. Find a basis for the eigenspace of M. c. Use your answers from parts a. and b. to diagonalize M as M = PDP-¹. To find P-¹ first find the adjugate of P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. M =
2 -7
1
-6
a. Find the characteristic polynomial and eigenvalues of M.
b. Find a basis for the eigenspace of M.
c. Use your answers from parts a. and b. to diagonalize M as M = PDP-¹. To find P-1
first find the adjugate of P.
Transcribed Image Text:6. M = 2 -7 1 -6 a. Find the characteristic polynomial and eigenvalues of M. b. Find a basis for the eigenspace of M. c. Use your answers from parts a. and b. to diagonalize M as M = PDP-¹. To find P-1 first find the adjugate of P.
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