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Solve the Matrix Equations: `[[1],[2],[1]][[1 2 0],[2 0 1],[1 0 2]][[0],[2],[X]]=0` - Mathematics

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Question

Solve the matrix equations:

`[1  2   1] [[1,2,0],[2,0,1],[1,0 ,2]][[0],[2],[x]]=0`

Sum
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Solution

[1   2    1] `[[1,2,0],[2,0,1],[1,0,2]] [[0],[2],[x]]=0`

⇒[1+4+1       2+0+0      0+2+2] `[[0],[2],[x]]=0` 

⇒[6   2    4]   `[[0],[2],[x]]=0` 

⇒[0+4+4x]=0

⇒4+4x=0

⇒4x=−4

∴ `x=(-4)/4 =-1`

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Chapter 5: Algebra of Matrices - Exercise 5.3 [Page 44]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.3 | Q 40.2 | Page 44
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