Let Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R4 spanned by and y. -4 0- 6 3 3 80 and ỹ=

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

4. Consider the subspace V of R' given by 1 3 V = span (a) Find an orthonormal basis for the orthogonal complement V-. (b) Find the closest point to (1, 1, 1, 1) in V+.

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. }

Find an orthonormal basis of the subspace spanned by the vectors in Exercise 3.

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