Find an explicit description of Nul A by listing vectors that span the null space. 1 2 4 A = 0 1 3 -6 A spanning set for Nul A is 4 . (Use a comma to separate vectors as needed.)

Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. 4a + 2b 5b + 2c 8c + 8a 7b Select the correct choice and fill in the answer box as needed to complete your choice. O A. A spanning set is S={} (Use a comma to separate answers as needed.) O B. There is no spanning set of W because W does not contain the zero vector. O C. There is no spanning set of W because W is not closed under vector addition. O D. There is no spanning set of W because W is not closed under scalar multiplication.

Find an explicit description of Nul A by listing vectors that span the null space. 1 4 8 A = 0 13 - 4 ... A spanning set for Nul A is { }. (Use a comma to separate vectors as needed.)

Find an explicit description of Nul A by listing vectors that span the null space