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

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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Example 10 Find the values of x and y from the following equation: 2[โ– 8(๐‘ฅ&5@7&๐‘ฆโˆ’3)] + [โ– 8(3&โˆ’4@1&2)] = [โ– 8(7&6@15&14)] 2[โ– 8(๐‘ฅ&5@7&๐‘ฆโˆ’3)] + [โ– 8(3&โˆ’4@1&2)] = [โ– 8(7&6@15&14)] [โ– 8(๐‘ฅร—2&5ร—2@7ร—2&(๐‘ฆโˆ’3)ร—2)] + [โ– 8(3&โˆ’4@1&2)] = [โ– 8(7&6@15&14)] [โ– 8(2๐‘ฅ&10@14&2๐‘ฆ โˆ’6)] + [โ– 8(3&โˆ’4@1&2)] = [โ– 8(7&6@15&14)] [โ– 8(2๐‘ฅ+3&10 โˆ’4@14+1&2๐‘ฆ โˆ’6+2)] = [โ– 8(7&6@15&14)] [โ– 8(2๐‘ฅ+3&6@15&2๐‘ฆ โˆ’4)] = [โ– 8(7&6@15&14)] Since matrices are equal. Corresponding elements are equal 2x + 3 = 7 & 2y โ€“ 4 = 14 Solving these equations Solving (1) 2x = 7 โ€“ 3 2x = 4 x = 4/2 x = 2 Hence x = 2 & y = 9

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