For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue: -15 -17 6 1) A = 2 and A -3. A corresponding eigenvector would be: -36 -36 15

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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:
-15
-17
6
1) А —
2
and A = -3. A corresponding eigenvector would be:
-36
-36
15
-17 – 19i
-9
-12 – 6i
2) В —
-36 – 42i
-17 + 2i
-24 – 12i
and A = 1+ 2i. A corresponding eigenvector would be:
54 + 63i
27
37 + 20i
-14 – 22i
8 + 13i
-33 – 36i
8 + 18i
-17 – 14i
10 + 10i
-30 – 25i
9 + 13i
3) C =
and A = 1+ 2i. A corresponding eigenvector would be:
-7 — 12і
4+ 7i
-18
- 26i
4 + 12i
-41 – 4li 23 + 23i
-99 – 73i 29 + 40i
Transcribed Image Text:For each matrix below, you are given one of the eigenvalues. Find a corresponding eigenvector for each eigenvalue: -15 -17 6 1) А — 2 and A = -3. A corresponding eigenvector would be: -36 -36 15 -17 – 19i -9 -12 – 6i 2) В — -36 – 42i -17 + 2i -24 – 12i and A = 1+ 2i. A corresponding eigenvector would be: 54 + 63i 27 37 + 20i -14 – 22i 8 + 13i -33 – 36i 8 + 18i -17 – 14i 10 + 10i -30 – 25i 9 + 13i 3) C = and A = 1+ 2i. A corresponding eigenvector would be: -7 — 12і 4+ 7i -18 - 26i 4 + 12i -41 – 4li 23 + 23i -99 – 73i 29 + 40i
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