The Gram-Schmidt Method is an established procedure employed for the orthogonormalization of a specific set of vectors within an inner product space, which is typically the Euclidean space. It is an organized approach that facilitates the transformation of a non-orthogonal set of vectors into an orthogonal or orthonormal basis. The technique incorporates the use of orthogonal projection alongside vector addition and subtraction.
| Topic | Problem | Solution |
|---|---|---|
| None | Given vectors v1 = [1, 2, 3] and v2 = [4, 5, 6]. … | Step 1: Normalize the first vector to get the first basis vector: u1 = v1 / ||v1|| = [1, 2, 3] / sq… |