document.write( "Question 1044794: find the basic and the dimension of the solution space of
\n" ); document.write( "x+2y-3z=0
\n" ); document.write( "2x-y+z=0
\n" ); document.write( "4x+3y-z=0 \n" ); document.write( "

Algebra.Com's Answer #660183 by robertb(5830) $\"\"$ $\"About$

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The determinant of the coefficient matrix is -20 (not equal to zero!),
\n" ); document.write( "and hence the homogeneous system has only the TRIVIAL solution (0,0,0).
\n" ); document.write( "The solution space {(0,0,0)} has no basis (or has the empty set as basis), and has dimension zero. \n" ); document.write( "

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