Let 0 - .9 3 -3 .4 , Y 2 8 14 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R4 spanned by x, y, and ž. 9.

Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

Determine all nn symmetric matrices that have 0 as their only eigenvalue.

Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the subspace. a Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B. b Apply the Gram-Schmidt orthonormalization process to transform B into an orthonormal set B. c Write x as a linear combination of the vectors in B.That is, find the coordinates of x relative to B.