Answer:
The system will be inconsistent.
Step-by-step explanation:
We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.
Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix A.
Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.
