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

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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Ex 3.2,9 Find x and y, if 2[โ– 8(1&3@0&๐‘ฅ)] + [โ– 8(๐‘ฆ&0@1&2)] = [โ– 8(5&6@1&8)] Given that 2[โ– 8(1&3@0&๐‘ฅ)] + [โ– 8(๐‘ฆ&0@1&2)] = [โ– 8(5&6@1&8)] [โ– 8(1ร—2&3ร—2@0ร—2&๐‘ฅร—2)] + [โ– 8(๐‘ฆ&0@1&2)] = [โ– 8(5&6@1&8)] [โ– 8(2&6@0&2๐‘ฅ)] + [โ– 8(๐‘ฆ&0@1&2)] = [โ– 8(5&6@1&8)] [โ– 8(2+๐‘ฆ&6+0@0+1&2๐‘ฅ+2)] = [โ– 8(5&6@1&8)] [โ– 8(2+๐‘ฆ&6@1&2๐‘ฅ+2)] = [โ– 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 โ€“ 2 y = 3 Solving (2) 2x + 2 = 8 2x = 8 โ€“ 2 2x = 6 x = 6/2 = 3 Hence x = 3 & y = 3

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