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Question
If [1 1 x] `[[1 0 2],[0 2 1],[2 1 0]] [[1],[1],[1]]` = 0, find x.
Solution
Given : [1 1 x] `[[1,0,2],[0,2,1],[2,1 ,0]] [[1],[1],[1]]=0`
⇒[1+0+2x 0+2+x 2+1+0] `[[1],[1],[1]]=0`
⇒[1+2x 2+x 3] `[[1],[1],[1]]=0`
⇒[1+2x+2+x+3]=0
⇒6+3x=0
⇒3x=−6
⇒x=`(-6)/3`
∴ x=-2
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