how many parameters are there in general solutions?
If the coefficient matrix A in a homogeneous system of 33 equations in 28 un- knowns is known to have rank 12, how many parameters are there in the general solution?
Re: how many parameters are there in general solutions?
The total number of equations is irrelevant. Since the matrix has rank 12, it is equivalent to 12 independent equations. There will be 28- 12= 16 parameters in the general solution.