Let A1, A2 andA3 be the eigenvalues and let V1, V2 and v3 be the corresponding eigenvectors of the 3 x 3 diagonalizable matrix A. That is Avi = AV1, %3D Av2 = AV2, Av3 = A3V3. To diagonalize the matrix A, a student defines the matrix P by using the three eigenvectors as column vectors, in the order P = (V2, V3, V1). What is the matrix p-'AP? t one: 0. 0. 0 A3 0 0 2 0 0 \3 0 13,
Let A1, A2 andA3 be the eigenvalues and let V1, V2 and v3 be the corresponding eigenvectors of the 3 x 3 diagonalizable matrix A. That is Avi = AV1, %3D Av2 = AV2, Av3 = A3V3. To diagonalize the matrix A, a student defines the matrix P by using the three eigenvectors as column vectors, in the order P = (V2, V3, V1). What is the matrix p-'AP? t one: 0. 0. 0 A3 0 0 2 0 0 \3 0 13,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:Let A1, A2 and A3 be the eigenvalues and let V1, V2 and v3 be the corresponding
eigenvectors of the 3 x 3 diagonalizable matrix A. That is
Av1 =
= l,V1,
Av2 = 2V2,
Av3 = A3V3.
%3D
To diagonalize the matrix A, a student defines the matrix P by using the three
eigenvectors as column vectors, in the order P = (v2, V3, V1). What is the matrix
P-'AP?
Select one:
0.
О а.
0 13
Ob.
0.
0 13
О с.
0.
13,
Od.
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