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Find an explicit description of Nul A by listing vectors that span the null space. 135 0 012-5 A = A spanning set for Nul A is (Use a comma to separate vectors as needed.)

Either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary. c - 19d 41 W = d: c, d real с Let w = W=C C- - 19d d. Then w is an element of W. Write w in parametric vector form. C +d (c, d in R)

Either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary. Р q W = r Ax= S : Rewrite the system of equations in the form Ax = 0. 2p+q = -2s - p= -2s+r 1 0 -1 0 B Р q r S 0 0

Complete parts (a) and (b) for the matrix below. A = -2-4-9 0-4 9 8-2-2 1 3 -6 (a) Find k such that Nul(A) is a subspace of Rk. k=