Question

Find the orthogonal complement s⊥. (enter each vector in the form [x1, x2, ...]. enter your answers as a comma-separated list.) s is the subspace of r8 consisting of all vectors whose seventh and eighth components are zero.

Answer 1

span([0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]), which is equivalent to the plane described by the seventh and eighth components of R8.