Homework SourseGiven the matrix A 1 2 1 0 1 1 1 2 1 0 1 1 which row reduce
Given the matrix A = [1 2 1 0 1 1 1 2 1 0 1 1] which row reduces to [1 0 -1 0 1 1 0 0 0 0 0 0], answer the following questions. Nul(A) is a subspace of R^? ? Find a basis for the nullspace of A. What is the dimension of the Nul(A). Col(A) is a subspace of R^? ?![Given the matrix A = [1 2 1 0 1 1 1 2 1 0 1 1] which row reduces to [1 0 -1 0 1 1 0 0 0 0 0 0], answer the following questions. Nul(A) is a subspace of R^? ? F](/WebImages/23/given-the-matrix-a-1-2-1-0-1-1-1-2-1-0-1-1-which-row-reduce-1058175-1761552380-0.webp "Given the matrix A = [1 2 1 0 1 1 1 2 1 0 1 1] which row reduces to [1 0 -1 0 1 1 0 0 0 0 0 0], answer the following questions. Nul(A) is a subspace of R^? ? F")
Solution
a)x-z=0
y+z=0
i.e.x=z
y=-z
let z=t
[x y z]=t [1 -1 1]
b) the basics of null space is [1 -1 1]
c) dimessions is nullspace(A)=1
d)col(A)=[1 0 0 0] [1 1 0 0]
