a. The echelon form of a matrix is unique.b. The pivot

Chapter 1, Problem 22E

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QUESTION:

a. The echelon form of a matrix is unique.

b. The pivot positions in a matrix depend on whether row interchanges are used in the row reduction process.

c. Reducing a matrix to echelon form is called the forward phase of the row reduction process.

d. Whenever a system has free variables, the solution set contains many solutions.

e. A general solution of a system is an explicit description of all solutions of the system.

Questions & Answers

QUESTION:

a. The echelon form of a matrix is unique.

b. The pivot positions in a matrix depend on whether row interchanges are used in the row reduction process.

c. Reducing a matrix to echelon form is called the forward phase of the row reduction process.

d. Whenever a system has free variables, the solution set contains many solutions.

e. A general solution of a system is an explicit description of all solutions of the system.

ANSWER:

SOLUTION

Step 1

(a). The echelon form of a matrix is unique.

False .The reduced echelon form of a matrix is unique whereas every matrix has infinitely many echelon forms.

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