矩阵运算化简Q(A-3/2)^6Q^T=(3/2) - 知识问答

矩阵运算化简Q(A-3/2)^6Q^T=(3/2)^6QEQ^TA=0 03怎么化简过去的.

1个回答

A-3/2E =
-3/2 0 0
0 -3/2 0
0 0 3/2
(A-3/2E)^6 =
(-3/2)^6 0 0
0 (-3/2)^6 0
0 0 (3/2)^6
=
(3/2)^6 0 0
0 (3/2)^6 0
0 0 (3/2)^6
= (3/2)^6 E.
所以 Q(A-3/2)^6Q^T = Q(3/2)^6EQ^T = (3/2)^6QEQ^T = (3/2)^6QQ^T
满意请采纳^_^

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