The matrix -1 2 3-6 has a eigenvalues -7,0 with eigenvec- tors (-1,3) and (2, 1). Write the general solution of X'(t) = AX(t). Positive eigenvalues lead to exponential growth in the solution. Negative eigenvalues lead to decay. Complex eigenvlaues lead to oscillation. What kind of solution arises from the 0 eigenvalue?
The matrix -1 2 3-6 has a eigenvalues -7,0 with eigenvec- tors (-1,3) and (2, 1). Write the general solution of X'(t) = AX(t). Positive eigenvalues lead to exponential growth in the solution. Negative eigenvalues lead to decay. Complex eigenvlaues lead to oscillation. What kind of solution arises from the 0 eigenvalue?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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