Download Quiz #9 / Fall2003 - Programs in Mathematics and Computer Science

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 