document.write( "Question 1181179: Let x, y, z be three vectors in vector space V.give a definition of span(x,y, z) in set notation \n" ); document.write( "

Algebra.Com's Answer #811049 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "    span(x,y,z) = { ax + by + cz |  for all coefficients \"a\", \"b\" and \"c\" of the base field }.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In wording form,  span(x, y, z)  is the set of all linear combinations of the vectors x, y and z \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "with coefficients  \"a\",  \"b\"  and  \"c\"  from the base field.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved, answered and carefully explained.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );