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Solved: Repeat Exercise 5 for a nonzero 3 × 2
Chapter 1, Problem 6E(choose chapter or problem)
PROBLEM 6E
Repeat Exercise 5 for a nonzero 3 × 2 matrix.
Exercise 5:
Describe the possible echelon forms of a nonzero 2 × 2 matrix. Use the symbols ∎, * and 0, as in the first part of Example 1.
Questions & Answers
QUESTION:
PROBLEM 6E
Repeat Exercise 5 for a nonzero 3 × 2 matrix.
Exercise 5:
Describe the possible echelon forms of a nonzero 2 × 2 matrix. Use the symbols ∎, * and 0, as in the first part of Example 1.
ANSWER:
Solution:-
Step1
Given that
Echelon forms of a nonzero 3 × 2 matrix.
Step2
To find
Describe the possible echelon forms of a nonzero 3 × 2 matrix. Use the symbols ∎, * and 0.
Step3
Echelon Matrix
An echelon matrix is one that is in echelon form.
A matrix is in echelon form when:
1) Each row containing a non-zero number has the number “1” appearing in the rowʼs first non-zero column. (Such an entry will be referred to as a “leading one”.)
2) The column numbers of the columns containing the first non-zero entries in each of the rows strictly increas