True or False For each one that is false explain briefly a D

True or False, For each one that is false, explain briefly. a. Different sequences of elementary row operations can lead to different reduced row-echelon forms for the same matrix. If a linear system has 4 equations and 7 variables, then it must have infinitely many solutions.

Solution

a-

Different sequence of elementary roe operations different reduced row-echelon forms for the same matrix but the overall matrix value will remain the same.

b-

there will be zero solution for the system of equations.