Check sibling questions

Example 5 - Find values of a, b, c, d : [2a + b a - 2b - Examples

Example 5 - Chapter 3 Class 12 Matrices - Part 2
Example 5 - Chapter 3 Class 12 Matrices - Part 3
Example 5 - Chapter 3 Class 12 Matrices - Part 4
Example 5 - Chapter 3 Class 12 Matrices - Part 5

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Transcript

Example 5 Find the values of a, b, c, and d from the following equation: [ 8(2a+b&a 2b@5c d&4c+3d)] = [ 8(4& 3@11&24)] Since matrices are equal. Their corresponding elements are equal 2a + b = 4 5c d = 11 a 2b = 3 4c + 3d = 24 Solving these equations Solving (1) 2a + b = 4 b = 4 2a Solving (3) a 2b = 3 Putting b = 4 2a a 2(4 2a) = -3 a 8 + 4a = -3 a + 4a = -3 + 8 5a = 5 a = 5/5 a = 1 From (1) 2a + b = 4 Putting a = 1 2(1) + b = 4 2 + b = 4 b = 4 2 b = 2 From (2) 5c d = 11 5c = 11 + d 5c 11 = d d = 5c 11 Solving (4) 4c + 3d = 24 Putting d = 5c 11 4c + 3(5c 11) = 24 4c + 15c 33 = 24 19c 33 = 24 19c = 24 + 33 19c = 57 c = 57/19 c = 3 Now, d = 5c 11 Putting c = 3 d = 5(3) 11 d = 15 11 d = 4 Hence , a = 1, b = 2, c = 3 and d = 4

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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.