For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue: 3 1) A = 7 -2 -1 12 -7 and λ = 5. A corresponding eigenvector would be: 12 12 -10 -8+ 8i 2) B= -12+9i 3) C = -3 + 15i 1 + 14i -48 +36i -12 + 60i -40-25i -95-67i 53 + 45i 204 +82i 37 + 15i 88 + 45i -49-33i -180-50i 3-6i 3-6i and λ = 4-i. A corresponding eigenvector would be: 16-251] -129-9i 47 + 21i 110+66i -317-61i 190 + 49i -63-45i 616-32i -232-75i and λ = 1 + 2i. A corresponding eigenvector would be:

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue:
3
1) A = 7
-2 -1
12 -7 and λ = 5. A corresponding eigenvector would be:
12 12 -10_
-8 + 8i
2) B= -12+9i
3) C =
-3 + 15i
1+14i
-48 +36i -12 +60i
-40-25i
-95-67i
53 +45i
204 +82i
37 + 15i
88 +45i
-49-33i
-180-50i
3-6i
3-6i and λ = 4-i. A corresponding eigenvector would be:
16-25i
-129-9i 47+21i
-317-61i
190 + 49i
616 - 32i
110 + 66i
-63-45i
-232-75i
and λ = 1 + 2i. A corresponding eigenvector would be:
Transcribed Image Text:For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue: 3 1) A = 7 -2 -1 12 -7 and λ = 5. A corresponding eigenvector would be: 12 12 -10_ -8 + 8i 2) B= -12+9i 3) C = -3 + 15i 1+14i -48 +36i -12 +60i -40-25i -95-67i 53 +45i 204 +82i 37 + 15i 88 +45i -49-33i -180-50i 3-6i 3-6i and λ = 4-i. A corresponding eigenvector would be: 16-25i -129-9i 47+21i -317-61i 190 + 49i 616 - 32i 110 + 66i -63-45i -232-75i and λ = 1 + 2i. A corresponding eigenvector would be:
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