document.write( "Question 851477: find the coordinate vector for w relative to the basis S={ u1, u2} for R^2.\r
\n" ); document.write( "\n" ); document.write( "a) u1 = (1,0), u2 = (0,1); w = (-4,3)\r
\n" ); document.write( "\n" ); document.write( "b) u1 = (1,-1), u2 =(2,5); w = (3,7) \n" ); document.write( "

Algebra.Com's Answer #513231 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
a) $\"w=-4%2Au1%2B3%2Au2\"$
\n" ); document.write( "b) $\"w=a%2Au1%2Bb%2Au2\"$
\n" ); document.write( "x: $\"3=1a%2B2b\"$
\n" ); document.write( "y: $\"7=-1a%2B5b\"$
\n" ); document.write( "Adding,
\n" ); document.write( " $\"10=7b\"$
\n" ); document.write( " $\"b=10%2F7\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"a%2B20%2F7=3\"$
\n" ); document.write( " $\"a=21%2F7-20%2F7\"$
\n" ); document.write( " $\"a=1%2F7\"$
\n" ); document.write( " $\"w=%281%2F7%29%2Au1%2B%2810%2F7%29%2Au2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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