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Solve the Matrix Equations: `[[],[X-5-1],[]][[1 2 0],[2 0 1],[1 0 2]] [[0],[2],[X]]=0` - Mathematics

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Question

Solve the matrix equations:

`[[],[x-5-1],[]][[1,0,2],[0,2,1],[2,0,3]] [[x],[4],[1]]=0`

Sum
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Solution

`[[],[x-5-1],[]][[1        0        2],[0       2       1],[2      0       3]] [[x],[4],[1]]=0`

⇒[x−0−2   0−10−0  2x−5−3] `[[x],[4],[1]]=0`

⇒[x−2   −10   2x−8 ] `[[x],[4],[1]]=0`

⇒[x2−2x−40+2x−8]=0

⇒x2−48=0

⇒x2=48

`⇒ x= ± sqrt48`

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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 40.3 | Page 44
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