(2, 4, 0), the Gram-Schmidt process Given vị = (-1, 2, –1), v2 = (1, 7,1) and v3 allows us to construct an orthonormal basis {u1, u2, U3 } of R³ such that u¡ is a multiple of V1, u2 is a linear combination of vj and v2, and uz is a linear combination of v1, V2 and v3. Then u2 is equal to: O (1,1,1) O (1,2, 0) O (1,7, 1) O (0, 1, 0) o (-1, 2, –1) ㅇ순(1,0,.1)

V has bases B 2v1 + 5v2 + bv3, W3 = v1 + v2 + 5v3. (v1, v2, V3) and B' = (w1, w2, w3). If wi vi + 2v2 + 4v3, W2 = Determine the change of basis matrices, PgB and Pg¬B'-

2. Find an orthonormal basis by the Gram-Schmidt procedure for the basis (-4,1) and (3,7)

Which of the following is the orthonormal basis formed using the Gram-Schmidt process on the vectors: 0·0·0 1 2 a) (1,-1,1) (3, 3, 1) (-1, 0, 1) b) (1, 1, 1) (3, 3, 13) (-1,0, 1) c) (1, 1, 1) (5/3, -4/3, -1) (-1/7, 2/7, 3/7) d) (1, 1, 1) (-5/3, 4/3, 13) (-1/7, -2/7, 3/7) Svir