Final answer:
The coefficient matrix of a homogeneous system of 10 linear equations in 15 unknowns has a rank of 4. There are 11 parameters in the solution.
Step-by-step explanation:
In a homogeneous system of linear equations, the coefficient matrix has a rank equal to the number of linearly independent equations. In this case, the coefficient matrix has a rank of 4. Since there are 15 unknowns and the rank is 4, there must be 15 - 4 = 11 parameters in the solution.