Answer:
The system is consistent with infinitely many solutions.
Step-by-step explanation:
Consider the provided information.
It is given that the 4 × 6 coefficient matrix for a system of linear equations has 4 pivot columns.
4 pivot columns means that there is a pivot in every row but not in every column as we know that the number of columns are greater than 4.
In a coefficient matrix the columns without pivot elements correspond to free variables.
If a system of linear equations has no solution then it is known as inconsistent otherwise its called consistent.
Infinite solution: The system of equation is consistent but at least one of the variables is free.
As each row has pivot that means that means system of linear equations has solution. Also at least one of the variable is free that means it has infinitely many solutions.
Thus, the system is consistent with infinitely many solutions as there is a pivot in every row but not every column.
