Ex 3.1, 9 - Which of x, y make the pair of matrices equal - Ex 3.1

  1. Class 12
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Ex 3.1 , 9 Which of the given values of x and y make the following pair of matrices equal [■8(3x+7&5@y+1&2−3x)] = [■8(0&y−2@8&4)] (A) x = (−1)/3, y = 7 (B) Not possible to find (C) y = 7, x = (−2)/3 (D) x = (−1)/3, y = (−2)/3 Since matrices are equal. Their corresponding elements are equal 3x + 7 = 0 y – 2 = 5 y + 1 = 8 2 – 3x = 4 Solving these equations Solving (1) 3x + 7 = 0 3x = – 7 x = ("–" 𝟕)/𝟑 Solving (4) 2 – 3x = 4 2 – 4 = 3x –2 = 3x x = (−𝟐)/𝟑 x cannot have two values So, value of x & y is impossible to find. Hence, correct answer is B

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