Let A = [1 5 15 1 0 -5 5 0 -25 000-2 0 0001 0 Find a basis for the row space of A, a basis for the column space of A, a basis for the null space of A, the rank of A, and the nullity of A. (Note that the reduced row echelon form of A is Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: [1 1 1 0 -5 000 000 1 0 000 0 0 0 0 .)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1

Let A =
[1 1 1 0 -5
5 5 5 0 -25
000 -2 0
0001
0
Find a basis for the row space of A, a basis for the column space of A, a basis for the null space of A, the
rank of A, and the nullity of A. (Note that the reduced row echelon form of A is
Row Space basis:
Column Space basis:
Null Space basis:
Rank:
Nullity:
[1 1 1 0 -5]
000 1
000
0
0 0
0
000
0
.)
Transcribed Image Text:Let A = [1 1 1 0 -5 5 5 5 0 -25 000 -2 0 0001 0 Find a basis for the row space of A, a basis for the column space of A, a basis for the null space of A, the rank of A, and the nullity of A. (Note that the reduced row echelon form of A is Row Space basis: Column Space basis: Null Space basis: Rank: Nullity: [1 1 1 0 -5] 000 1 000 0 0 0 0 000 0 .)
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