Let A:-[au] E M. Define ||A||: max{laul | ij = 1,...n}. Show that || ||:M-R is a norm on the real vector space M.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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M:=Real^nxn.   

ax{|ag|| ij = 1,...n}. Show that || ||:M-R is a norm
Let A:-[au] E M. Define ||A||:= max-
on the real vector space M.
Chow that the linear transformation,
AX for given mxn real matrix A and
is a continuous function from V into W using the norm of P1 as a vector and a matro
Transcribed Image Text:ax{|ag|| ij = 1,...n}. Show that || ||:M-R is a norm Let A:-[au] E M. Define ||A||:= max- on the real vector space M. Chow that the linear transformation, AX for given mxn real matrix A and is a continuous function from V into W using the norm of P1 as a vector and a matro
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