Example 10 - Chapter 3 Class 12 Matrices

Last updated at Dec. 16, 2024 by

Example 10 - Find x and y: 2[x 5 7 y-3] + [3 -4 1 2] - Examples - Examples

part 2 - Example 10 - Examples - Serial order wise - Chapter 3 Class 12 Matrices

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Example 10 Find the values of x and y from the following equation: 2[■8(𝑥&5@7&𝑦−3)] + [■8(3&−4@1&2)] = [■8(7&6@15&14)] 2[■8(𝑥&5@7&𝑦−3)] + [■8(3&−4@1&2)] = [■8(7&6@15&14)] [■8(𝑥 × 2&5 × 2@7 × 2&(𝑦−3)× 2)] + [■8(3&−4@1&2)] = [■8(7&6@15&14)] [■8(𝟐𝒙&𝟏𝟎@𝟏𝟒&𝟐𝒚 −𝟔)] + [■8(𝟑&−𝟒@𝟏&𝟐)] = [■8(𝟕&𝟔@𝟏𝟓&𝟏𝟒)] [■8(2𝑥+3&10 −4@14+1&2𝑦 −6+2)] = [■8(7&6@15&14)] [■8(𝟐𝒙+𝟑&𝟔@𝟏𝟓&𝟐𝒚 −𝟒)] = [■8(𝟕&𝟔@𝟏𝟓&𝟏𝟒)] Since matrices are equal. Corresponding elements are equal 2x + 3 = 7 & 2y – 4 = 14 Solving these equations Solving (1) 2x = 7 – 3 2x = 4 x = 4/2 x = 2 Hence x = 2 & y = 9 Solving (2) 2y – 4 = 14 2y = 14 + 4 2y = 18 y = 𝟏𝟖/𝟐 = 9

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo