Example 8 - Chapter 3 Class 12 Matrices (Term 1)
Last updated at May 29, 2018 by Teachoo
Examples
Example 1
Example 2
Example 3 Important
Example 4
Example 5 Important
Example 6
Example 7
Example 8 You are here
Example 9
Example 10
Example 11 Important
Example 12
Example 13 Important
Example 14
Example 15
Example 16 Important
Example 17
Example 18 Important
Example 19
Example 20 Important
Example 21
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
Chapter 3 Class 12 Matrices (Term 1)
Serial order wise
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)]
