(Solved): Consider the homogeneous system of equations with the following coefficient matrix: A= -8 -8 7 0 1 ...

Consider the homogeneous system of equations with the following coefficient matrix: A= -8 -8 7 0 1 -4 Rank == -24 -24 17 [Recall: A homogeneous system of equations is of the form A# = = 01. (a) State the number of variables in the homogeneous system of equations. Number of Variables k= (b) Determine the rank of A (c) Use the results in parts (a) and (b) to determine the number of free variables in the general solution to the system of equations. Number of Free Variables m (d) Consider the vectors -8 0 -24 -24 Looking at the results in parts (a)-(c), the vectors are and B -4 17