[理工] [線代]-基底變換
1.
α = { (1,-1) , (-2,3) }
β = { (1,1) . (0,1) }
2
be two bases for R and let A = [2 1]
[0 3]
2 2
be the matrix for T: R ------> R relative to α
<1> find transtion matrix p from β to α
T
<2> Using p and A find V and [T(V)] where V = (1,-3)
α α β
sol:
<1>
設題意之 p 為 change of coordinate matrix from β to α
另
U = [ 1 -2] , V = [1 0]
[-1 3] [1 1]
X = UX = VX
α β
....
....
<2>
另 TX = Y
X = UX , Y = UY
α α
.....
.....
這是筆記理的解答
像<2>小題我該如何判斷 X = UX , Y = UY
α α
因為有些題目 Y = VY
β
要怎麼看 困擾我好久了...
2.
詹森 控制 p12-39 那一題 他給
1
G(S) = --- 有什麼用處 感覺沒有用到也..
2
s
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