Determine whether or not W1 and W2 are: A) not a basis because it does not span R^3 B) not a basis because it is linearly dependent  C) a basis

Find an orthonormal basis of the plane x₁ + x₂ + x3 = 0

Pick an option: (a) Yes, S is a basis, (b) S is not a basis since it is not linearly independent, (c) S is not a basis because it is not a spanning set

Do the vectors form a basis for R"? Show which conditions, if any, are met, and show which conditions, if any, are not met. Be sure to address all conditions of a basis. a) v1 = (1,3, –2), v2 = (-2,–6,4) b) v1 = (2,1,0,3), v2 = (0,1,5,7), v3 = (0,0,3, –1), v4 = (0,0,0, –4)