Determine whether the set 01, 11-11 is a basis for r. if the set is not a basis, determine whether the set is linearly independent and whether the - 12 | 15 set spans r3 which of the following describe the set? select all that apply o a. the set is linearly independent. b. the set spans r o c. the set is a basis for r? dd. none of the above
let v be the set of vectors shown below. a. if u and v are in v, is u + v in v? why? b. find a specific vector u in v and a specific scalar c such that cu is not in v. a. if u and v are in vis u + v in v? o a. the vector u + v may or may not be in v depending on the values of x and y. ob. the vector u + v must be in v because the x-coordinate of u + v is the sum of two negative numbers, which must also be negative, and the y-coordinate of u + v is the sum of nonpositive numbers, which must also be nonpositive. oc. the vector u + v must be in v because v is a subset of the vector space r. od. the vector u + v is never in v because the entries of the vectors in v are scalars and not sums of scalars. b. find a specific vector u in v and a specific scalar c such that cu is not in v. choose the correct answer below. n c= -1 n n n 11 n od. u= 1. c4