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Mathematics, 12.08.2019 18:20 KayBJ2005

(after 4.1) let s be a plane in r3 passing through the origin, so that s is a two-dimensional subspace of r3 . say that a linear transformation t : r3 → r3 is a reflection about s if t(v) = v for any vector v in s and t(n) = −n whenever n is perpendicular to s. let t be the linear transformation given by t(x) = ax, where a is the matrix [-1 -2 2]1/3 x [-2 2 1] [ 2 1 2]this linear transformation is the reflection about a plane s. find a basis for s.

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