For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A), nullity(A) A. ​det(A)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A), nullity(A)
 
A. ​det(A)<nullity(A)<rank(A)
 
B. ​det(A)<rank(A)<nullity(A)
 
C. ​nullity(A)<rank(A)<det(A)
 
D. ​rank(A)<det(A)<nullity(A
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