Re: [理工] [線代]-中山-97通訊聯招
※ 引述《mokiya1 (無言)》之銘言：
: 麻煩各位大大為我解惑~~
: 97年中山通訊聯招乙組線代的第二題
: Find a matrix A for the linear operator T:R^3->R^3 that first rotates a
: vector countercloclwise about the z-axis thourgh an angle 60度,
: the reflects the resulting vector about the yz-plane,and then
: projects that vector orthogonally onto the xy-plane
: 依題意我直接將矩陣寫出來
: ┌ ┐
: │ cos60 -sin60 0│
: │ sin60 cos60 0│ 可是這只是第一步,反射在yz平面然後映射在xy平面的矩陣
: │ 0 0 1│ 要怎麼轉換
: └ ┘
: 麻煩各位高手幫我解惑...
: 謝謝
.
/
/
-------------------------- <---yz
\
\
. <---反射僅x值變號yz同值
[-1 0 0]
[ 0 1 0]
[ 0 0 1]
/
/
/
----->---------------- <---xy
~~~~~ <-投影至xy ,即無z值
[1 0 0]
[0 1 0]
[0 0 0]
有錯請指正,慢慢生疏中^^"
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