# Example 8 - Chapter 3 Class 12 Matrices (Term 1)

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 8 If A = [ 8(8&0@4& 2@3&6)] and B = [ 8(2& 2@4&2@ 5&1)] then find the matrix X, such that 2A + 3X = 5B. Given that 2A + 3X = 5B Putting values 2 [ 8(8& 0@4& 2@3& 6)] + 3X = 5 [ 8( 2& 2@ 4& 2@ 5& 1)] [ 8(8 2 & 0 2@4 2& 2 2@3 2& 6 2)] + 3X = [ 8( 2 5 & 2 5@ 4 5& 2 5@ 5 5& 1 5)] [ 8(16& 0@8& 4@6& 12)] + 3X = [ 8( 10& 10@ 20& 10@ 25& 5)] 3X = [ 8(10& 10@20&10@ 25&5)] [ 8(16& 0@8& 4@6&12)] 3X = [ 8( 10 16& 10 0@ 20 8&10 ( 4)@ 25 6& 5 12)] 3X = [ 8( 6& 10@ 12& 14@ 31& 7)] X = 1/3 [ 8( 6& 10@ 12& 14@ 31& 7)] = [ 8(( 6)/3&( 10)/3@( 12)/3&14/3@( 31)/3&( 7)/3)] = [ 8( 2&( 10)/3@4&14/3@( 31)/3&( 7)/3)] Hence, X = [ 8( 2&( 10)/3@4&14/3@( 31)/3&( 7)/3)]

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Example 8 You are here

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Example 23 Deleted for CBSE Board 2022 Exams

Example 24 Important Deleted for CBSE Board 2022 Exams

Example 25 Important Deleted for CBSE Board 2022 Exams

Example 26 Important

Example 27 Important

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Chapter 3 Class 12 Matrices (Term 1)

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.