Answer
$20$
Work Step by Step
$4 \textbf i=4<1,0>=<4,0>$.
$5 \textbf i-9 \textbf j=5<1,0)-9<0,1>=<5,0>-<0,9>=<5,-9>$
$4 \textbf i\cdot (5 \textbf i-9 \textbf j)=<4,0>\cdot <5,-9>=4\cdot 5+0\cdot (-9)=20$
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