Astudent wrote the matrix below to represent the solution to a system of equations. which of the following describes the solution? a. no solution b. an infinite number of solutions c. (-2, 0, -1) d. (5, -2, -1)

Option A is correct.

Step-by-step explanation:

The following matrix represent the augmented matrix

In augmented matrix the left side represent the co-efficient of the variables and right side represent the value of variables.

Since the matrix has been solved and reduced so, the solution of variables x, y and z is written on right side of augmented matrix

The given matrix is:

Since the last row is all zero and we have a non zero entry for the solution, the matrix is inconsistent.

As the variables have zero values, there cannot be any solution

So, there is no solution.

So, Option A is correct.

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: