Learn All Concepts of Chapter 3 Class 12 Matrices - FREE. Check - Matrices Class 12 - Full video
Example 5 - Chapter 3 Class 12 Matrices
Last updated at Jan. 17, 2020 by Teachoo
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
Examples
Example 1
Example 2
Example 3
Example 4
Example 5 Important You are here
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18 Important
Example 19
Example 20 Important
Example 21
Example 22 Important
Example 23
Example 24 Important
Example 25 Important
Example 26 Important
Example 27 Important
Example 28
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.