Elementary Matrices
Example suppose a is a 3in matrix
a find a 3 3 matrix E suchthat E A is the resultof multiplying R2 by 5
so E
8 E suchthat EZA is theresultof exchanging RaandRs of A
21
p
Es suchthat ESA isresultofreplacingRaof Awith 5times r addedto ra
p p
d find a 3 3 matrix M so that mA resultsafterpreforming a b and c
sol M E E E
Hill ill
Hill
2.1.7 2.1.8 pg 11 78
2.1.92.1.10 pg7890