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Ex 3.2, 11 - If x [2 3] + y [-1 1]  = [10 5], find x and y

Ex 3.2, 11 - Chapter 3 Class 12 Matrices - Part 2
Ex 3.2, 11 - Chapter 3 Class 12 Matrices - Part 3

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Transcript

Ex 3.2, 11 If x [■8(2@3)] + y [■8(−1@1)] = [■8(10@5)] , find values of x and y. x [■8(2@3)] + y [■8(−1@1)] = [■8(10@5)] [■8(2𝑥@3𝑥)] + [■8(−𝑦@𝑦)] = [■8(10@5)] [■8(2𝑥−𝑦@3𝑥+𝑦)] = [■8(10@5)] Since the matrices are equal. corresponding elements are equal 2x − y = 10 3x + y = 5 …(1) Solving equations Adding (1) & (2) (2x – y) + (3x + y) = 10 + 5 2x – y + 3x + y = 15 2x + 3x – y + y = 15 5x + 0 = 15 x = 15/5 x = 3 Putting value of x in (1) 2x – y = 10 2(3) – y = 10 6 – y = 10 –y = 10 – 6 –y = 4 y = –4 Hence, x = 3 & y = –4

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Davneet Singh

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.