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If [1 1 X] `[[1 0 2],[0 2 1],[2 1 0]] [[1],[1],[1]]` = 0, Find X. - Mathematics

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प्रश्न

If [1 1 x] `[[1         0            2],[0           2         1],[2            1           0]] [[1],[1],[1]]` = 0, find x.

योग

उत्तर

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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अध्याय 5: Algebra of Matrices - Exercise 5.3 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.3 | Q 24.1 | पृष्ठ ४३

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