5 13 Let r = y3D -4 , and z = -8 3.5 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R* spanned by x, y, and z.

Let 3 -3 -8-8 and y= 4 0 Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R4 spanned by and y. = ܬ ܗ ܕ ܝܶܬ -14 2

(1) Let W C R³ be a subspace with basis 3 4 1 Use Gram-Schmidt process to produce an orthogonal basis for W.

Let 3 -10 -6 -4 and y -12 -11 9. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R' spanned by a and j. }

a = -4 -3 -1 0 and b || -7 -3 11 -12 Use the Gram-Schmidt procedure to determine an orthonormal basis {₁, ₂} for the subspace of Rª spanned by the vectors a and b.

Find a basis for the two-dimensional subspace of R^4 defined by