A is a 3 x 3 matrix with eigenvectors v₁ = Write x as a linear combination of the given eigenvectors. ]) v₁ + ( [ コ)/2+( X= ··-- 0 v₂ = Find A20x. A 20x = -A , and V3 = 1 corresponding to eigenvalues ₁ =- · ^₂ = ²/² ₁ ² and 3= 1, respectively, and x = 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A is a 3 x 3 matrix with eigenvectors v₁ =
X =
Find A20x.
0
0
Write x as a linear combination of the given eigenvectors.
])√₂ + ( [
])√₂ + ( [
A 20x =
V₂ =
1
0
and V3 =
1 corresponding to eigenvalues 2₁ -₁22₂ = ₁ and 23 = 1, respectively, and x =
-[:]
3
Transcribed Image Text:A is a 3 x 3 matrix with eigenvectors v₁ = X = Find A20x. 0 0 Write x as a linear combination of the given eigenvectors. ])√₂ + ( [ ])√₂ + ( [ A 20x = V₂ = 1 0 and V3 = 1 corresponding to eigenvalues 2₁ -₁22₂ = ₁ and 23 = 1, respectively, and x = -[:] 3
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