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

Ex 3.1, 9 - Chapter 3 Class 12 Matrices - Part 2
Ex 3.1, 9 - Chapter 3 Class 12 Matrices - Part 3

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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&[email protected]+1&2−3x)] = [■8(0&y−[email protected]&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 …(1) …(1) …(3) …(4) 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, we cannot find value of x Similarly, we cannot find the value of y So, value of x & y is impossible to find. Hence, Correct answer is B

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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.