Use the inner product (u, v) = 2u1V₁ + U₂v2 in R² and the Gram-Schmidt orthonormalization process to transform {(-2, 1), (2, 9)) into an orthonormal basis. (Use the vectors in the order in which they are given.) U₁ = U₂ =

Use Gram–Schmidt orthogonalisation to construct a set of three orthonormal vectors in a space of dimension N = 3 by starting from b1, then using b2 and b3 in that order.

Let x=(1,2,3) and y=(0,1,2) Find projyX. Find projection of Y onto column space A= [(1,0); (3,2); (0,1)] , A is 3x2. Find the projection as a linear combination of the columbs of A. Also use Gram-Schmidt process to find orthogonal sets of vectors that spam the column vectors of A.

Apply the Gram-Schmidt orthonormalization process to transform the given basis for R" into an orthonormal basis. Use the vectors in the order in which they are given. B = {(15, 8), (0, 1)} u2 II