
Examples
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Example 8 You are here
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Example 20 Important
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Example 22 Important
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
Example 28
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)]