Check sibling questions

Example 10 - Find x and y: 2[x 5 7 y-3] + [3 -4 1 2] - Addition/ subtraction  of matrices

Example 10 - Chapter 3 Class 12 Matrices - Part 2

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Transcript

Example 10 Find the values of x and y from the following equation: 2[ 8( &5@7& 3)] + [ 8(3& 4@1&2)] = [ 8(7&6@15&14)] 2[ 8( &5@7& 3)] + [ 8(3& 4@1&2)] = [ 8(7&6@15&14)] [ 8( 2&5 2@7 2&( 3) 2)] + [ 8(3& 4@1&2)] = [ 8(7&6@15&14)] [ 8(2 &10@14&2 6)] + [ 8(3& 4@1&2)] = [ 8(7&6@15&14)] [ 8(2 +3&10 4@14+1&2 6+2)] = [ 8(7&6@15&14)] [ 8(2 +3&6@15&2 4)] = [ 8(7&6@15&14)] Since matrices are equal. Corresponding elements are equal 2x + 3 = 7 & 2y 4 = 14 Solving these equations Solving (1) 2x = 7 3 2x = 4 x = 4/2 x = 2 Hence x = 2 & y = 9

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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.