as an augmented matrix for a linear system. (c) A basic variable in a linear sys
ID: 3029100 • Letter: A
Question
as an augmented matrix for a linear system. (c) A basic variable in a linear system is a variable that corresponds to a pivot column in the coefficient Is this statement true or false? O A. The statement is true. It is the definition of a basic variable. O B. The statement is false. A variable that corresponds to a pivot column in the matrix is called a free variable, coefficient not a basic variable. O c. The statement is true. If a linear system has both basic and free variables, then each basic variable can be expressed in terms of the free variables. O D. The statement is false. Not every linear system has basic variables.Explanation / Answer
a basic variable in a linear system is a variable that corresponds to pivot column in coefficient statemnt is true
the variables corresponding to pivot columns are known as basic variables
( option a)
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