※ 引述《mqazz1 (無法顯示)》之銘言：
: 1. Let A in R^(3*3)
: [1 1 1] [2 0 0] T [x] [x]
: P = [2 3 3], if AP = P[0 1 0] and A [y] = [y]
: [1 3 4] [0 0 -1] [1] [1]
: then (x,y) = ?
M':transpose of M
Let u=(x,y,1)' and v=P'u.
A'u=u => P'A'u=v => D'P'u=v => Dv=v. (where D is the given diagonal matrix)
Since P is invertible and u nonzero, v is the eigenvector of D.
Thus v=k(0,1,0)^t for some real k.
Now you can find the value of k.
: [ 1 2 3 4 ] 3 2
: 2. H = [ 5 6 7 8 ]. suppose H = aH + bH + cI, a,b,c in R
: [ 9 10 11 12 ]
: [13 14 15 16 ]
: (a,b,c) = ?
: 這題應該是C-H 可是很難算
: 請問有人知道這兩題怎麼解嗎?
: 謝謝
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