Setx = [ 0 : 4, 4,−4, 1, 1]' and y = ones(9, 1) Use the MATLAB function norm to computethe values of ||x||, ||y||, ||x + y|| and to verifythat the triangle inequality holds. UseMATLABalso to verify that the parallelogram law||x + y||2 +||x − y||2 = 2(||x||2 + ||y||2)

Setx = [ 0 : 4, 4,−4, 1, 1]' and y = ones(9, 1) Use the MATLAB function norm to computethe values of ||x||, ||y||, ||x + y|| and to verifythat the triangle inequality holds. UseMATLABalso to verify that the parallelogram law||x + y||2 +||x − y||2 = 2(||x||2 + ||y||2)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...

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Question

Set
x = [ 0 : 4, 4,−4, 1, 1]' and y = ones(9, 1) Use the MATLAB function norm to compute
the values of ||x||, ||y||, ||x + y|| and to verify
that the triangle inequality holds. UseMATLAB
also to verify that the parallelogram law
||x + y||2 +||x − y||2 = 2(||x||2 + ||y||2)

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