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Solutions for Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence 9780130084514

Solution for problem 11 Chapter 2.4

Verify that the transformation in Example 5 is one-to-one

Linear Algebra | 4th Edition


Problem 11

Verify that the transformation in Example 5 is one-to-one.

Accepted Solution
Step-by-Step Solution:

Step 1 of 2

Define :

by

Let  T is linear ,

Now assume that if then it follows that where ,

If

 

Chapter 2.4, Problem 11 is Solved

Step 2 of 2

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Verify that the transformation in Example 5 is one-to-one