3. (а) Let A € C"xn. State the definition of an eigenvalue and eigenvector of A. (b) Let -1 2 Show that o(A) = {0, 1, 3}. (c) Find linearly independent eigenvectors of A corresponding to each eigenvalue in part (b). - T-

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3. (a)
Let A € Cnxn. State the definition of an eigenvalue and eigenvector of A.
(b)
Let
-1
A =
-1
-1
Show that o(A) = {0, 1, 3}.
(c)
Find linearly independent eigenvectors of A corresponding to each eigenvalue in part (b).
Transcribed Image Text:3. (a) Let A € Cnxn. State the definition of an eigenvalue and eigenvector of A. (b) Let -1 A = -1 -1 Show that o(A) = {0, 1, 3}. (c) Find linearly independent eigenvectors of A corresponding to each eigenvalue in part (b).
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