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1. Let X = =R2 be a two dimensional real vector space and let A be the matrix Define a mapping T : XX by Tx (6 3) . = Ax for x X. Suppose that X is endowed with X1 the 1-norm, that is ||x||1 := |x1|+|x2| for x = Є X. Find ||T||. X2

1. Let X = =R2 be a two dimensional real vector space and let A be the matrix Define a mapping T : XX by Tx (6 3) . = Ax for x X. Suppose that X is endowed with X1 the 1-norm, that is ||x||1 := |x1|+|x2| for x = Є X. Find ||T||. X2

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 44E: Prove that in a given vector space V, the additive inverse of a vector is unique.
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1. Let X = =R2 be a two dimensional real vector space and let A be the matrix Define a mapping T : XX by Tx (6 3) . = Ax for x X. Suppose that X is endowed with X1 the 1-norm, that is ||x||1 := |x1|+|x2| for x = Є X. Find ||T||. X2
Transcribed Image Text:1. Let X = =R2 be a two dimensional real vector space and let A be the matrix Define a mapping T : XX by Tx (6 3) . = Ax for x X. Suppose that X is endowed with X1 the 1-norm, that is ||x||1 := |x1|+|x2| for x = Є X. Find ||T||. X2
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