Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized eigenvector: 1 = 1 with eigenvector v = and generalized eigenvector w= Write the solution to the linear system r' = Ar in the following forms. A. In eigenvalue/eigenvector form: t = c1 C2 e B. In fundamental matrix form: x(t)] C. As two equations: (write "c1" and "c2" for c and c2 ) x(t) = y(t) =
Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized eigenvector: 1 = 1 with eigenvector v = and generalized eigenvector w= Write the solution to the linear system r' = Ar in the following forms. A. In eigenvalue/eigenvector form: t = c1 C2 e B. In fundamental matrix form: x(t)] C. As two equations: (write "c1" and "c2" for c and c2 ) x(t) = y(t) =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized eigenvector: (see image)
Write the solution to the linear system in the following forms:
A. In eigenvalue/eigenvector form
B. In fundamental matrix form:
C. As two equations: (write "c1" and "c2" for c1 and c2 )
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