(b) Find an equation relating nullity(A) and nullity(A' ) for a general m X n matrix. An equation relating nullity(A) and nullity (A") is nullity (A) – nullity(A") = n – m O nullity(A) – nullity (A") + n – m O nullity (A) + nullity (A') + n+ m O nullity (A) + nullity (A") = n + m

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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Question
1
3 4 0
A = | -3 4 5 2
-4
1
1
1
(b) Find an equation relating nullity(A) and nullity(A' ) for a general m X n matrix.
An equation relating nullity(A) and nullity (A' ) is
O nullity(A) – nullity (A" )
O nullity (A) – nullity (A") # n – m
O nullity (A) + nullity (A") + n+ m
O nullity (A) + nullity (A") 3D п + т
— п — т
Transcribed Image Text:1 3 4 0 A = | -3 4 5 2 -4 1 1 1 (b) Find an equation relating nullity(A) and nullity(A' ) for a general m X n matrix. An equation relating nullity(A) and nullity (A' ) is O nullity(A) – nullity (A" ) O nullity (A) – nullity (A") # n – m O nullity (A) + nullity (A") + n+ m O nullity (A) + nullity (A") 3D п + т — п — т
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