Check sibling questions

Example 8 - Find matrix X, such that 2A + 3X = 5B - Addition/ subtraction  of matrices

Example 8 - Chapter 3 Class 12 Matrices - Part 2


Transcript

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.