document.write( "Question 910867: how do you make a system of three linear equations in three variables for which the solution set is (0,0,0)? why is the set called homogeneous system? \n" ); document.write( "
Algebra.Com's Answer #552970 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"x%2By%2Bz=0\"
\n" ); document.write( "\"x%2By-z=0\"
\n" ); document.write( "\"x-y%2Bz=0\"
\n" ); document.write( "Any system that has the zero vector as the right hand side is a homogeneous system which means the zero vector is always a solution.
\n" ); document.write( "If the matrix is not singular, it's the only solution, like in this case.
\n" ); document.write( "
\n" );