Determine whether the given statement is true or false.

A homogeneous linear system with the same number of equations as unknowns always
has a unique solution. ? i know it has a unique solution which is the trivial one but it may have infininetely many as well >?

True.The homogeneous linear system always has the trivial solution. There is always the trivial solution where [x1, x2, ..., xn] = [0,0,...0].If the number of equations is less than the number of variables in the system, the system will always have infinitely many solutions.

T