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North Carolina Central University Department of Mathematics and Computer Science Quiz #9 / Instructor Dr. H.Melikian / MATH 4410 Linear Algebra I Name - - - - - - - - - - - - - - - Date-11/12/03------------------ Problem#1(Select all correct answers) a. A subset W of Rn is a subspace of Rn if and only if is closed under addition W is closed under scalar multiplication W is not empty and closed under addition and scalar multiplication the zero vector belong to W W is empty none of the preceding statements is true W is not empty and closed under addition and scalar multiplication the zero vector belong to W b. Let A be an n x n matrix. Then the following set is not a subspace Row A Col A Null A rank A Problem#2. 10 1 a. Determine whether the vector belongs to the nullspace of the matrix A = 0 1 -2 2 b. Find Null A -2 -1 0 1 3 -2 , 3 -1 2