Determine whether the statement below is true or false. Justify the answer. The row reduction algorithm applies only to augmented matrices for a linear system. O A. The statement is true. The row reduction algorithm is only useful when it is used to find the solution of a linear system. O B. The statement is false. It is possible to create a linear system such that the row reduction algorithm does not apply to the corresponding augmented matrix. O C. The statement is true. Every matrix with at least two columns can be interpreted as the augmented matrix of a linear system. O D. The statement is false. The algorithm applies to any matrix, whether or not the matrix is viewed as an augmented matrix for a linear system.
Determine whether the statement below is true or false. Justify the answer. The row reduction algorithm applies only to augmented matrices for a linear system. O A. The statement is true. The row reduction algorithm is only useful when it is used to find the solution of a linear system. O B. The statement is false. It is possible to create a linear system such that the row reduction algorithm does not apply to the corresponding augmented matrix. O C. The statement is true. Every matrix with at least two columns can be interpreted as the augmented matrix of a linear system. O D. The statement is false. The algorithm applies to any matrix, whether or not the matrix is viewed as an augmented matrix for a linear system.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer.
The row reduction algorithm applies only to augmented matrices for a linear system.
O A. The statement is true. The row reduction algorithm is only useful when it is used to find the solution of a linear system.
O B. The statement is false. It is possible to create a linear system such that the row reduction algorithm does not apply to the
corresponding augmented matrix.
O C. The statement is true. Every matrix with at least two columns can be interpreted as the augmented matrix of a linear system.
O D. The statement is false. The algorithm applies to any matrix, whether or not the matrix is viewed as an augmented matrix for a linear
system.
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