Use the following theorem: If T:Rn → Rm is a linear transformation, and e₁,e2, ..., en are the standard basis vectors for Rn, then the standard matrix for T is [T] = [T(e₁) T (e₂) T(en)] Find the standard matrix for T:R³ → R³ from the images of the standard basis vectors. T:R³ → R³ reflects a vector about the xy-plane, then reflects that vector about the xz-plane, and then reflects that vector about the yz -plane. i i i i i i i i i

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