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Ex 3.2, 9 - Find x and y, if 2 [ 1 3 0 x] + [y 0 1 2] - Addition/ subtraction  of matrices

Ex 3.2, 9 - Chapter 3 Class 12 Matrices - Part 2

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Ex 3.2,9 Find x and y, if 2[ 8(1&3@0& )] + [ 8( &0@1&2)] = [ 8(5&6@1&8)] Given that 2[ 8(1&3@0& )] + [ 8( &0@1&2)] = [ 8(5&6@1&8)] [ 8(1 2&3 2@0 2& 2)] + [ 8( &0@1&2)] = [ 8(5&6@1&8)] [ 8(2&6@0&2 )] + [ 8( &0@1&2)] = [ 8(5&6@1&8)] [ 8(2+ &6+0@0+1&2 +2)] = [ 8(5&6@1&8)] [ 8(2+ &6@1&2 +2)] = [ 8(5&6@1&8)] Since matrices are equal. Corresponding elements are equal Therefore, 2 + y = 5 2x + 2 = 8 Solving (1) 2 + y = 5 y = 5 2 y = 3 Solving (2) 2x + 2 = 8 2x = 8 2 2x = 6 x = 6/2 = 3 Hence x = 3 & y = 3

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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.