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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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