Question

Don't know what I'm doing wrong...

Find the orthogonal complement st. (Enter each vector in the form [X1, X2, ...]. Enter your answers as a comma-separated list.) S is the subspace of R10 consisting of all vectors whose first and fifth components are zero. S- = span{ (1,0,0,0,0,0,0,0,0,0).(0,0,0,0,1,0,0,0,0,0) } Need Help? Read It Talk to a Tutor

Answer 1

{(2,112 .: Basis 10,0,0,0,0,0,0,0,1,0),(0,0,0,0,0,0,0,0,0, lzi Nyi Mg, Kio): k, = 0, Ng=0} of s is P10,1,0,0,0,0,0,0,0,0),(0,0,1,0,0,0,0,0,0,0), (0,0,0,1,0,0,0,0,0,0), (0,0,0,0,0,0,0,0,0,0), (0,0,0,0,0,0,1,0,0,0), (0,0,0,0,0,0,0,1,0,0), 10,0,1)} = { V i Ve Vz, Vq , YB i V6 V7 V8 V8} = (U,, U₂, U3, Ug Us Us Uz , lug, Ug,4,0) Est Then 44 v) = 0 < u Vo>= 0 , & U V3>=0 <U, Vx >=0 <U, Vgy = 0, <U, V = 0, <U, VzY=0 , <U, Vg > = 0 Ug = 0, Uz = 0, y = 0, "=0, Uz = 0, Ug = 0 Ug = 0 , uo U = (1, ,0,0,0, U8,0,0,0,0,0) Es est (1,0,0,0,0,0,0,0,0,0), (0,0,0,0,0,0,0,0,0,0) Let st=spus