In Exercises 29 and 30, describe the possible echelon

Chapter 1, Problem 30E

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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 1.2T : ?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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