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85% Sat 1:51 PM a E Safari File Edit View History Bookmarks Window Help webwork2 asu.edu My ASU WeBWork Ringh MAT 343 Fall 2015 S Chegg Study G d Study Chegg Study G d Study ork S Section 6.1 Eigenvalues and Eigenvectors: Problem 15 Section 6.1 Eigenvalues and Eigenvectors Previous Problem List Next Problem 15 User Settings (1 point) Grades Let v and v3 Problems v2 Problem 1 Problem 2 e matrix A which correspond to the eigenvalues 2, and Problem 3 3, respectively, and le be eigenvectors of th Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Express v as a linear combination of vu, v2, and v3, and find Av. Problem 10 v3 Problem 11 Problem 12 Problem 13 Av Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers

Explanation / Answer

Lets express v as linear compbination of eigne vectors:

(3 , 5, 2) = x(0 -1 -2) +y( -3, 3, 0) +z( 3, 0 , -1)

3 = -3y +3z

we divide by3 :1= -y +z

5=-x +3y

we can write :x= 3y-5

2= -2x +-z

z = -2x-2

So,x =-2 ; y=1 z=2

So, v = -2v1 +v2 +2v3

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