Answer:
The system is inconsistent.
Explanation:
Consider the provided information.
The augmented matrix for a given system has a pivot in every column.
Let us understand this fact with the help of an example.
Suppose an 8 × 6 augmented matrix has a pivot in every column.
The above matrix is augmented and has a pivot in every column, that means the rightmost column in the above matrix must be a pivot column.
The rightmost column of the above matrix will be something like this:
0 0 0 0 0 | b
Where b≠0 because if b is 0 then it can't be a pivot position.
But from the above 0 = b, which is false.
This means that the system is not consistent,
Hence, the system is inconsistent.