a 4а + b Determine if the subset of R* consisting of vectors of the form is a subspace. 4а — 5b -5a + 26 Select true or false for each statement. 1. The set contains the zero vector 2. This set is...

Extracted text: a 4а + b Determine if the subset of R* consisting of vectors of the form is a subspace. 4а — 5b -5a + 26 Select true or false for each statement. 1. The set contains the zero vector 2. This set is closed under vector addition 3. This set is a subspace 4. This set is closed under scalar multiplications


Extracted text: 1 -4 -5 Let u = V = and w = -10 23 40 We want to determine if {u, v, w} is linearly independent. To do that we write the vectors as columns of a matrix A and row reduce that matrix. Choose the best answer A. The set {u, v, w} is linearly dependent because after row reducing matrix A we get a matrix without a row of zeros. B. The set {u, v, w} is linearly dependent because after row reducing matrix A we get a matrix with a row of zeros. C. The set {u, v, w} is linearly independent because the number of rows and columns in A is the same. D. The set {u, v, w} is linearly independent because after row reducing matrix A we get a matrix with a row of zeros. E. The set {u, v, w} is linearly dependent because the number of rows and columns in A is the same. F. The set {u, v, w} is linearly independent because after row reducing matrix A we get a matrix without a row of zeros. G. We cannot tell if the set {u, v, w} is linearly independent or not.