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(Solved): 10. The matrix shown is the RREF of a system of equations of the form \( A \vec{x}=\vec{b} \). a) ...
10. The matrix shown is the RREF of a system of equations of the form \( A \vec{x}=\vec{b} \). a) List the number of unknowns, the rank of \( A \), the rank of \( A^{\#} \), and the number of free variables. b) If the system is consistent write all possible solutions for \( \vec{x} \). \[ \left(\begin{array}{lllll} 1 & 0 & 0 & 3 & 1 \\ 0 & 1 & 0 & 0 & 3 \\ 0 & 0 & 1 & 6 & 2 \end{array}\right) \]
Expert Answer
Solution:- Consider a system of equation of the form Ax = b where A=[10031