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Solved: Use the definition of Ax to write the matrix

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 6E Chapter 1.4

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 6E

PROBLEM 6E

Use the definition of Ax to write the matrix equation as a vector equation, or vice versa.

Step-by-Step Solution:

Answer:

  Step 1:

         In this problem we need to write the matrix equation as a vector equation.

         By the definition of AX , the matrix vector product  AX is defined by:

         

         Here ,are columns of A , and are entries of  x.

        Given AX = B is :

                 

Here ,

             

By the definition of AX:

                 

Therefore ,

                 

       

Step 2 of 1

Chapter 1.4, Problem 6E is Solved
Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

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Solved: Use the definition of Ax to write the matrix