The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for W. Assume the vectors are in the order x, and x2. 1 5 -3 -9 -2 1 1 The orthogonal basis produced using the Gram-Schmidt process for W is }. (Use a comma to separate vectors as needed.)

Does the ordered set v, v, va form a basis for R^3? If not, which vectors would you subtract from the set and which standard basis vector can you add to the set to make it a basis for R^3? vi = (1,–1, –2) = (5, –4, –7) v = (-3, 1,0) Select all answers that are correct. O subtract vector v 1 from the set O no it does not form a basis for R^3 O subtract vector v_3 from the set O yes it forms a basis for R^3 O add vector e_1 O add vector e 2 subtract vector v_2 from the set O add vector e_3

Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. - 2 6 -2 - 6 105 5 A = 2 -9 - 2 4 B = 0 3 4 2 - 3 12 1 -7 0 0 0 0 A column vector basis for Nul A is }. (Use a comma to separate vectors as needed.)

Find an orthonormal basis for the span: