That the coefficient matrix A has rank five implies that there are five linearly independent solutions to the system of 22 equations. Therefore, 5 of the 16 unknowns are dependent parameters and the remaining 11 are independent or free parameters.

The general solution then consists of 5 equations expressing the 5 dependent unknown parameters as linear combinations of the 11 independent parameters.

**There are 11 free parameters in the general solution**

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