Chapter 8: Q8.4-17E (page 365)
In Problems 15-18use the method of Example 2to compute eAtfor the coefficient matrix. Use (1)to find the general solution of the given system.
Letdenote a matrix whose columns are eigenvectors K1,K2,.....,Kncorresponding to distinct eigenvalues of an nxnmatrix A. Then it can be show that A=PDP-1,where Dis a diagonal matrix defined by
.
Short Answer
The solution for the given system is