Consider the linear map T: M, ,- R° defined by 2a+b a b c d 2c+d Find either the nullity or the rank of T and then use the Rank Plus Nullity Theorem to find the other: nullity(T) = rank(T)
Consider the linear map T: M, ,- R° defined by 2a+b a b c d 2c+d Find either the nullity or the rank of T and then use the Rank Plus Nullity Theorem to find the other: nullity(T) = rank(T)
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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Transcribed Image Text:Consider the linear map T:
M2,2
R3 defined by
2a+b
a b
c d
2c+d
Find either the nullity or the rank of T and then use the Rank Plus Nullity Theorem to find the other:
nullity(T) =
rank(T)
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