Examples

Chapter 3 Class 12 Matrices
Serial order wise

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### Transcript

Example 8 If A = [ 8(8&[email protected]& [email protected]&6)] and B = [ 8(2& [email protected]&2@ 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& 2@ 4& 2@ 5& 1)] [ 8(8 2 & 0 [email protected] 2& 2 [email protected] 2& 6 2)] + 3X = [ 8( 2 5 & 2 5@ 4 5& 2 5@ 5 5& 1 5)] [ 8(16& [email protected]& [email protected]& 12)] + 3X = [ 8( 10& 10@ 20& 10@ 25& 5)] 3X = [ 8(10& [email protected]&10@ 25&5)] [ 8(16& [email protected]& [email protected]&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)/[email protected]&14/3@( 31)/3&( 7)/3)] Hence, X = [ 8( 2&( 10)/[email protected]&14/3@( 31)/3&( 7)/3)]