Question

which one of the following is true?
a) In a reduced echelon form, using different row operations, a matrix can be reduced to more than one matrix.
b) Only the augmented matrices are applicable for the row reduction algorithm.
c) A solution set contains infinitely many solutions if is has free variables.
d) The variable that corresponds to the pivot column in the coefficient matrix is a basis variable.

Answer 1

Answer:

d. option is the correct answer ok

Step-by-step explanation:

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Answer 2

Answer:

The correct answer is option (c).

A solution set contains infinitely many solutions if is has free variables.

Step-by-step explanation:

A solution set is the set that contains all the solutions of an equation.

In the coefficient matrix of a system of equations, when there is no pivot for a variable in the corresponding column of the coefficient matrix, then the variable is called as free variable.

Coefficient matrix is the matrix that contains coefficients of the variables in the set of linear equations.

In case of free variables, the solution of equation is independent of the variable. If all the other variables are kept constant and the free variable is changed still the solution will not change.

Thus we can say that if a system has free variables, it has infinitely many solutions.

To know more about variable go to the following link.

https://brainly.in/question/38899959

To know more about linear equation go to the following link.

https://brainly.in/question/54103618

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