Elementary Linear Algebra - Text Only (Looseleaf)

8th Edition

ISBN: 9781305953208

Author: Larson

Publisher: Cengage Learning

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Textbook Question

Chapter 6.CR, Problem 27CR

Linear Transformation Given by a Matrix In Exercises 23-28, define the linear transformation T : R n → R m by T ( v ) = A v . Use the matrix A to (a) determine the dimensions of R n and R m , (b) find the image of v, and (c) find the preimage of w.

A = [ 4 0 0 5 1 1 ] , v = ( 2 , 2 ) , w = ( 4 , − 5 , 0 )

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Chapter 6.CR, Problem 26CR

Chapter 6.CR, Problem 28CR

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Chapter 6 Solutions

Elementary Linear Algebra - Text Only (Looseleaf)

Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Prob. 4E Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Finding an Image and a PreimageIn Exercises 1-8,...Ch. 6.1 - Linear TransformationsIn Exercises 9-22, determine...Ch. 6.1 - Linear TransformationsIn Exercises 9-22, determine...

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Solution Summary: The author explains how to determine the dimensions of Rn, and the vectors in the matrix.

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