document.write( "Question 28247: Show that the set s={u,v,6u-8v}, is linearly dependent regardless of what vectors u and v are. \n" ); document.write( "

Algebra.Com's Answer #15371 by venugopalramana(3286) $\"\"$ $\"About$

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Show that the set s={u,v,6u-8v}, is linearly dependent regardless of what vectors u and v are.
\n" ); document.write( "WE HAVE TO SHOW THAT THERE ARE A SET OF VALUES A1,A2,A3 NOT ALL EQUAL TO ZERO SUCH THAT
\n" ); document.write( "A1U+A2V+A3(6U-8V)=0
\n" ); document.write( "WE CAN EASILY SEE THAT IF
\n" ); document.write( "A1=-6 AND A2=8 AND A3=1......WE GET
\n" ); document.write( "-6U+8V+6U-8V=0...HENCE
\n" ); document.write( "the set s={u,v,6u-8v}, is linearly dependent regardless of what vectors u and v are.
\n" ); document.write( " \n" ); document.write( "

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