Determine whether the statement below is true or taise Justify the answer
A basic variable in a linear system is a vasable that corresponds to a pivot column in the coefficient matrix Choose the correct answer below
A The statement is taise A variable that coresponds to a pivot column in the coefficient matrix is called a free variable, not a basic variable
B. The statement is farve Not every inear system has basic variables
C. The statement is true it is the definition of a basic vanabie
D The statement is true a linear system has both basic and thee vanables, then each basic variable can be expressed in terms of the free variables