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Ex 3.2, 10 - Chapter 3 Class 12 Matrices
Last updated at June 7, 2023 by Teachoo
Ex 3.2
Ex 3.2, 1
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
Chapter 3 Class 12 Matrices
Serial order wise
Transcript
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
