Exercise 8.1.6 Suppose A is a 3 x 3-matrix with eigenvalues 21 = 1, 22=0, and 23=2 and corresponding eigenvectors B (By "corresponding", we mean that V₁ corresponds to λ1, V2 corresponds to 22, and so on). Find H 4 3 V1 = V2 = -B -4 and V3 =

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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Exercise 8.1.6 Suppose A is a 3 x 3-matrix with eigenvalues 21 = 1, 22=0, and 23 = 2 and corresponding
eigenvectors
V1
-
-2
-2
9
V2 =
and V3 =
A
-
-4
-3
(By "corresponding", we mean that V₁ corresponds to 21, V2 corresponds to 22, and so on). Find
3
H
-4
3
Transcribed Image Text:Exercise 8.1.6 Suppose A is a 3 x 3-matrix with eigenvalues 21 = 1, 22=0, and 23 = 2 and corresponding eigenvectors V1 - -2 -2 9 V2 = and V3 = A - -4 -3 (By "corresponding", we mean that V₁ corresponds to 21, V2 corresponds to 22, and so on). Find 3 H -4 3
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