Let A = = 1 -1 0 -12–1 1 -1 1 -1 1 -1 0 Find the following: A. det(A) B. rank(A) 1 –1 0 C. nullity(A) D. A basis for row(A) E. A basis for col(A) F. A basis for null(A) G. Is A invertible? Why or why not?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 5E
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Let
A =
=
1
-1
0 -12–1
1 -1
1
-1
1 -1
0
Find the following:
A. det(A)
B. rank(A)
1
–1
0
C. nullity(A)
D. A basis for row(A)
E. A basis for col(A)
F. A basis for null(A)
G. Is A invertible? Why or why not?
Transcribed Image Text:Let A = = 1 -1 0 -12–1 1 -1 1 -1 1 -1 0 Find the following: A. det(A) B. rank(A) 1 –1 0 C. nullity(A) D. A basis for row(A) E. A basis for col(A) F. A basis for null(A) G. Is A invertible? Why or why not?
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