Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. [2 -2 71 A -0 3 -2 0 -1 2 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) a basis for each of the corresponding eigenspaces B, - For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that PAP is diagonal. 11 Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. p-AP =
Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces. [2 -2 71 A -0 3 -2 0 -1 2 the characteristic equation the eigenvalues (Enter your answers from smallest to largest.) a basis for each of the corresponding eigenspaces B, - For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that PAP is diagonal. 11 Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal. p-AP =
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:Find the characteristic equation and eigenvalues of the matrix and a basis for each of the corresponding eigenspaces.
3 -2
0 -1
A=
the characteristic equation
the eigenvalues (Enter your answers from smallest
largest.)
(A, dz, dg) = (|
a basis for each of the corresponding eigenspaces
B, =
B,
For the matrix A, use the basis of the eigenspaces to find a nonsingular matrix P such that P'AP is diagonal.
Verify that PAP is a diagonal matrix with the eigenvalues on the main diagonal.
p-'AP =
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