document.write( "Question 18984: Is the following a linear transformation from R3 to R3:
\n" ); document.write( "L(x1,x2,x3) = (x3, x1+2x2-5x3, x1-x2) ?\r
\n" ); document.write( "\n" ); document.write( "ok so i've worked on this a while, and i'm wondering: is it correct to show that the formulas\r
\n" ); document.write( "\n" ); document.write( " $\"+++++++++++++x3+\"$
\n" ); document.write( " $\"+x1+%2B+2x2+-+5x3+\"$
\n" ); document.write( " $\"+x1+-++x2+++++++\"$ \r
\n" ); document.write( "\n" ); document.write( "is closed under scalar multiplication and addition? and if it is, does that mean that the answer is yes? thank you so much for your help! \n" ); document.write( "

Algebra.Com's Answer #9137 by khwang(438) $\"\"$ $\"About$

You can put this solution on YOUR website!
L(x1,x2,x3) = (x3, x1+2x2-5x3, x1-x2) ?
\n" ); document.write( " (FORGET yur wrong idea.)\r
\n" ); document.write( "\n" ); document.write( " It is linear, just try to check the linearity directly:
\n" ); document.write( "
\n" ); document.write( " L(a(x1,x2,x3)+b(y1,y2,y3)) = a L(x1,x2,x3) + b L(y1,y2,y3)
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " Kenny
\n" ); document.write( " \n" ); document.write( "

\n" );