Question

Consider the following system of equations (see below):

Answer 1

\[x _{1}+3x _{2}-3x _{3}+x _{4}=0\]\[-2x _{1}-5x _{2}+7x _{3}+3x _{4}=b-a\]\[4x _{1}+13x _{2}-11x _{3}+9x _{4}=a-c\]

which has row reduced echelon form



For what values of a, b and c does the system have a solution?


What is this solution?


For what values of a, b and c is the solution set for the system a
subspace of R4?