Solved: d 30, describe the possible echelon forms of the

Chapter 1, Problem 30E

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QUESTION:

PROBLEM 30EIn 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 1.2T : ?4 ? ?3 is onto.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.

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QUESTION:

PROBLEM 30EIn 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 1.2T : ?4 ? ?3 is onto.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 30EThe possible echelo

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