= Let S be the tetrahedron in R³ with vertices at the vectors 0, e,. e₂, and e, and let S' be the tetrahedron with vertices at vectors 0, V₁, V₂, and V3. See the figures to the right. Complete parts (a) and (b) below. and V3- If T is a linear transformation that maps S onto S', then the standard matrix for T, written in terms of V₁, V₂₁ -0 is A= b. Find a formula for the volume of the tetrahedron S' using the fact that 1 (volume of S) = (area of base) {height). Choose the correct answer below. 3 A. V₁ V2 V3 O.C.det [v, v OB. det O D. ₂

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