Solution Found!
Answer: In Exercises 29 and 30, describe the possible
Chapter 1, Problem 29E(choose chapter or problem)
PROBLEM 29E
In Exercises 29 and 30, describe the possible echelon forms of the standard matrix for a linear transformation T. Use the notation of Example 1 in Section 1.2
is one-to-one.
Example 1: The following matrices are in echelon form. The leading entries ( ∎ ) may have any nonzero value; the starred entries (*) may have any value (including zero).
The following matrices are in reduced echelon form because the leading entries are 1’s, and there are 0’s below and above each leading 1.
Questions & Answers
QUESTION:
PROBLEM 29E
In Exercises 29 and 30, describe the possible echelon forms of the standard matrix for a linear transformation T. Use the notation of Example 1 in Section 1.2
is one-to-one.
Example 1: The following matrices are in echelon form. The leading entries ( ∎ ) may have any nonzero value; the starred entries (*) may have any value (including zero).
The following matrices are in reduced echelon form because the leading entries are 1’s, and there are 0’s below and above each leading 1.
ANSWER:
Solution 29E
Consider a linear transformation such that it is one-to-one.
The objective is to describe the possible echelon forms of the standard matrix A, for the linear transformation T, by using the symbols .
Here, the leading entry ‘