Ex 3.2, 10 - Chapter 3 Class 12 Matrices
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 3.2,10 Solve the equation for x, y, z and t, if 2[โ 8(๐ฅ&๐ง@๐ฆ&๐ก)] + 3 [โ 8(1&โ1@0&2)] = 3 [โ 8(3&5@4&6)] 2[โ 8(๐ฅ&๐ง@๐ฆ&๐ก)] + 3 [โ 8(1&โ1@0&2)] = 3 [โ 8(3&5@4&6)] [โ 8(๐ฅร2&๐งร2@๐ฆร2&๐กร2)] + [โ 8(1ร3&โ1ร3@0ร3&2ร3)] = [โ 8(3ร3&5ร3@4ร3&6ร3)] [โ 8(2๐ฅ&2๐ง@2๐ฆ&2๐ก)] + [โ 8(3&โ3@0&6)] = [โ 8(9&15@12&18)] [โ 8(2๐ฅ+3&2๐งโ3@2๐ฆ+0&2๐ก+6)] = [โ 8(9&15@12&18)] [โ 8(๐๐+๐&๐๐โ๐@๐๐&๐๐+๐)] = [โ 8(๐&๐๐@๐๐&๐๐)] Since matrices are equal. Corresponding elements are equal 2x + 3 = 9 2y = 12 2z โ 3 = 15 2t + 6 = 18 Solving equation (1) 2x + 3 = 9 2x = 9 โ 3 x = 6/2 x = 3 Solving equation (2) 2y = 12 y = 12/2 y = 6 Solving equation (3) 2z โ 3 = 15 2z = 15 + 3 z = 18/2 z = 9 Solving equation (4) 2t + 6 = 18 2t = 18 โ 6 t = 12/2 t = 6 Hence x = 3 , y = 6 , z = 9 & t = 6
Ex 3.2
Ex 3.2, 2 (i)
Ex 3.2, 2 (ii) Important
Ex 3.2, 2 (iii)
Ex 3.2, 2 (iv)
Ex 3.2, 3 (i)
Ex 3.2, 3 (ii) Important
Ex 3.2, 3 (iii)
Ex 3.2, 3 (iv) Important
Ex 3.2, 3 (v)
Ex 3.2, 3 (vi) Important
Ex 3.2, 4
Ex 3.2, 5
Ex 3.2, 6
Ex 3.2, 7 (i)
Ex 3.2, 7 (ii) Important
Ex 3.2, 8
Ex 3.2, 9
Ex 3.2, 10 You are here
Ex 3.2, 11
Ex 3.2, 12 Important
Ex 3.2, 13 Important
Ex 3.2, 14
Ex 3.2, 15
Ex 3.2, 16 Important
Ex 3.2, 17 Important
Ex 3.2, 18
Ex 3.2, 19 Important
Ex 3.2, 20 Important
Ex 3.2, 21 (MCQ) Important
Ex 3.2, 22 (MCQ) Important
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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