作者sweettin (intern)
看板Grad-ProbAsk
标题[问题] 清大数研93年度第二题 (线性代数)
时间Tue Jan 3 20:36:56 2006
Let L be the line in R^3 defined by the linear equations
X1-X2+X3 = 0
X1+X2-X3 = 0
Let H be the plane in R^3 that passes through (0,0,0) and has L as its
normal line.
Let T:R^3----->R^3 be the linear transformation that fixes L and is a rotation
by 180度 in the plane H.
Find the matrix representation [T]_b with respect to the standard basis
b = {e1,e2,e3}
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