The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. 1 45 4 x' = 0 1 4 x, x(0) = 5 001 8 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.)
The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. 1 45 4 x' = 0 1 4 x, x(0) = 5 001 8 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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