Let the matrix A = (see attachment)   a. Write integers p and q such that Nul(A) is a subspace of Rp and Col(A) is a subspace of Rq. b. Compute a basis for the column space of A. What is the rank of A? c.  Compute a basis for the null space of A, or explain why a basis does not exist. What is the dimension of Nul(A)?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.4: Powers Of Monimials
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Let the matrix A = (see attachment)

 

a. Write integers p and q such that Nul(A) is a subspace of Rp and Col(A) is a
subspace of Rq.
b. Compute a basis for the column space of A. What is the rank of A?
c.  Compute a basis for the null space of A, or explain why a basis does not exist.
What is the dimension of Nul(A)?

1
-3
3
1
A =
-1
5
%3D
1
4
1
1
Transcribed Image Text:1 -3 3 1 A = -1 5 %3D 1 4 1 1
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