Which of the following statement is true? 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.

Question

Ernesto

Mathematics

16 January, 05:31

Which of the following statement is true? 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.

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Answers (1)

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Donaldson · Answer 1

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

Step-by-step explanation:

Forward Phase in Row Reduction Process: It is the process in which operations are performed to get leading entries in non-zero rows.

Backward Phase: It is the process of reducing matrix from echelon form to reduced echelon form.