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(b) The row reduction algorithm applies only to augmented matrices for a linea s

ID: 3029099 • Letter: #

Question

(b) The row reduction algorithm applies only to augmented matrices for a linea system. Is this statement true or false? O A. 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. B. The statement is true. Every matrix with at least two columns can be interpreted as the augmented matrix of a linear system. O c. The statement is true. The row reduction algorithm is only useful when it is used to find the solution of a linear system. C 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.

Explanation / Answer

the row reduction method can be applied to any matrix irrespective of matrix for a linear system

hence the statement is false ( option d is correct )