4 0 A--3 4 6 1 -1 8 10 1 2 4 (a) Find an equation relating nullity(A) and nullity A) for the matrix A. An equation relating nullity(A) and nullity A") is nullity(a) + nullity(a") -1 nulity (A) - nullity(a") =1 nullity(a) + nullity(A") -1 nulity(a) - nullity(A") -1 (b) Find an equation relating nullity(A) and nullity A') for a general m xn matrix. An equation relating nullity(A) and nullity(A) is nullity(a) + nullity(A") -n +m nullity(A) + nullity(A") n+m nullity(A) - nullity(A") =n-m nullity(a) – nullity (a") =
4 0 A--3 4 6 1 -1 8 10 1 2 4 (a) Find an equation relating nullity(A) and nullity A) for the matrix A. An equation relating nullity(A) and nullity A") is nullity(a) + nullity(a") -1 nulity (A) - nullity(a") =1 nullity(a) + nullity(A") -1 nulity(a) - nullity(A") -1 (b) Find an equation relating nullity(A) and nullity A') for a general m xn matrix. An equation relating nullity(A) and nullity(A) is nullity(a) + nullity(A") -n +m nullity(A) + nullity(A") n+m nullity(A) - nullity(A") =n-m nullity(a) – nullity (a") =
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Chapter 4, Section 4.8, Question 11
4 0
A=-3 4 6 1
-1 8 10 1
(a) Find an equation relating nullity(A) and nullity A') for the matrix A.
An equation relating nullity(A) and nullity
is
nullity(A) + nullity(A") 1
nullity(A) - nullity(A") = 1
nulity (a) + nullity(a") -1
nullity (A) – nullity (a") 1
(b) Find an equation relating nullity(A) and nullity A') for a general mxn matrix.
An equation relating nullity(A) and nullity(AT) is
nullity(A) + nullity(A") =n+m
nullity(A) + nullity(A").
ntm
ulity (A) – nullity(A").
=n- m
nullity(a) – nullity(a") =n
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