(b) Find the representation of L with respect to S' andT'.(c) Find L ([2 1 -1 3) by using the matricesobtained in parts (a) and (b) and compare this an-swer with that obtained from the definition for L. 2. Let L: R4 R3 be defined byL ([u u2 uz 44]) = [u1 u2 +uz uz + u4].Let S and T bc the natural bases for R4 and R3, respec-tively. LetS' = {[! 0 0 1].[0 0 0 1].[1 10 0].[0 1 1 0]}%3DandT' = {[1 1 0],[0 1 0],[1 0 1]}.(a) Find the representation of L with respect to S andT.

We have to find- the representation of L with respect to S and T, the representation of L with…

Answered: 2. Let L: R4 –→ R3 be defined by L ([u…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 34E

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2. Let L: R4 –→ R3 be defined by L ([u #2 uz 4]) = [u, uz + u3 uz + u4]. Let S and T be the natural bases for R4 and R3, respec- tively. Let {[! 0 0 1],[00 0 1], [1 1 0 0].[0 1 1 0]} S' and T' = {[1 1 0],[0 1 0],[1 0 1]}. %3D (a) Find the representation of L with respect to S and т.