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Solve the Matrix Equations: [2x 3] `[[1 2],[-3 0]] , [[X],[8]]=0` - Mathematics

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Question

Solve the matrix equations:

[2x 3] `[[1       2],[-3      0]] , [[x],[8]]=0`

Sum

Solution

[2x 3] `[[1 2],[-3 0]] , [[x],[8]]=0`

⇒[2x−9  4x] `[[x],[8]]=0`

⇒[x(2x−9)+32x]=0

`⇒[2x^2−9x+32x]=0`

`⇒[2x^2+23x]=0`

`⇒2x^2+23x=0`

⇒x(2x+23)=0

⇒x=0 or x= `-23/2`

∴x=0 or x= `-23/2`

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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 40.4 | Page 44

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