[問題] 清大數研93年度第二題 (線性代數)

[sweettin (intern)]

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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