Gram Schmidt Let x and y Use the GramSchmidt process to de

Let x = and y = Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of R^3 spanned by x and y. you have attempted this problem 0 times.

Solution

x = [-2,-1,1]

divide it by its norm which is sqrt(2^2 + 1^2 + 1^2) = sqrt6

y = [-2,1.5,0.5]

y\' = y - (y.x) /(x.x) x = [-2,1.5,0.5] - 3/6 [-2,-1,1] = [-1,2,0]

divide it by its norm which is sqrt5

so the orthonormalised vectors are :

[-2,-1,1]/sqrt6,  [-1,2,0] /sqrt5