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Question
If [1 −1 x] `[[0 1 -1],[2 1 3],[1 1 1]] [[0],[1],[1]]=`= 0, find x.
Sum
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Solution
Given : [1 −1 x ] `[[0 1 -1],[2 1 3],[1 1 1]] [[0],[1],[1]]=0`
⇒[0−2+x 1−1+x −1−3+x] `[[0],[1],[1]]= 0,`
⇒[−2+x x −4+x] `[[0],[1],[1]]= 0,`
⇒[0+x−4+x]=0
⇒2x−4=0
⇒2x=4
`⇒ x=4/2`
∴ x=2
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