Determine whether the statement below is true or false. Justify the answer. Reducing a matrix to echelon form is called the forward phase of the row reduction process. O A. The statement is true. The forward phase occurs when a linear system has both basic and free variables, which can only be determined by reducing a matrix to echelon form. O B. The statement is false. The forward phase does not depend on whether a matrix is in echelon form or reduced echelon form. O C. The statement is true. Reducing a matrix to echelon form is called the forward phase and reducing a matrix to reduced echelon form is called the backward phase. OD. The statement is false. Reducing a matrix to echelon form is called the backward phase and reducing a matrix to reduced echelon

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Determine whether the statement below is true or false. Justify the answer.
Reducing a matrix to echelon form is called the forward phase of the row reduction process.
O A. The statement is true. The forward phase occurs when a linear system has both basic and free variables, which can only be
determined by reducing a matrix to echelon form.
O B. The statement is false. The forward phase does not depend on whether a matrix is in echelon form or reduced echelon form.
O C. The statement is true. Reducing a matrix to echelon form is called the forward phase and reducing a matrix to reduced echelon form
is called the backward phase.
O D.
The statement is false. Reducing a matrix to echelon form is called the backward phase and reducing a matrix to reduced echelon
form is called the forward phase.
Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer. Reducing a matrix to echelon form is called the forward phase of the row reduction process. O A. The statement is true. The forward phase occurs when a linear system has both basic and free variables, which can only be determined by reducing a matrix to echelon form. O B. The statement is false. The forward phase does not depend on whether a matrix is in echelon form or reduced echelon form. O C. The statement is true. Reducing a matrix to echelon form is called the forward phase and reducing a matrix to reduced echelon form is called the backward phase. O D. The statement is false. Reducing a matrix to echelon form is called the backward phase and reducing a matrix to reduced echelon form is called the forward phase.
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