15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If H 0 0 -11 021 130 0015 000 (a) find a basis for N(A). (b) given that x, is a solution of Ax = b, where B () find all solutions to the system. () determine the remaining column vectors

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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15. Let A be a 4 x 5 matrix and let U be the reduced
row echelon form of A. If
H
U
0
0
0
0
-11
2
30
0-2
15
0 0 0
(a) find a basis for N(A).
(b) given that x is a solution of Ax = b, where
B
and
(1) find all solutions to the system.
determine the remaining column vectors
Transcribed Image Text:15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If H U 0 0 0 0 -11 2 30 0-2 15 0 0 0 (a) find a basis for N(A). (b) given that x is a solution of Ax = b, where B and (1) find all solutions to the system. determine the remaining column vectors
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