推 Madroach :T是projection operator等價T=TT 12/30 23:31
1
If P is the matrix thar projects R^n onto a subspace S, explain why every
vector in S is an eigenvector, and so is every vector in complement of S.
What are the eigenvalues?(Note the connection to P^2=P, which means that
eigenvalue^2=eigenvalue)
2
(a)Show that the matrix differential equation dX/dt=AX+XB has the solution
X(t)=e^At X(0) e^Bt
(b)Prove that the solutions of dX/dt=AX-XA keep the same eigenvalues for all
time
麻煩幫解決這二題，謝謝。
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.117.193.14