-51 2 Let U₁ = 4 U2 U3 = be a basis for R³. Use the Gram-Schmidt process to 51 3 find an orthogonal basis under the Euclidean inner product. -9-8-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230

Let u₁ = [1, 4, 0], u₂ = [-51, 17, 51], u₃ = [2, -4, 3] be a basis for R³. Use the Gram-Schmidt process to find an orthogonal basis under the Eculidean inner product.

Orthogonal basis: v₁ = [1, 4, 0], v₂ = [-52, 13, 51], v₃ = [a, b, c]

Solve for a, b, c.