[理工] [工數]-矩陣

[redwing119 (翼迷)]

        3    3
Let T: R  →R     be  the linear operator  given by



 [X1]   [ X1+3X2   ]
T[X2] = [3X1-2X2-X3]
 [X3]   [-X2+X3    ]


(a)Determine  the rank of T

(b)Find the eigenvalues  and the correspond eigenvector of matrix T

                                                                   -1
(c)Find  an orthogonal matrix P and a diagonal matrix D such that P  TP=D

拜託各位高手了

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→ iyenn:找出T的矩陣表示,剩的跟之前學的特徵系統概念雷同.