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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 3.2,10 Solve the equation for x, y, z and t, if 2[โ– 8(๐‘ฅ&๐‘ง@๐‘ฆ&๐‘ก)] + 3 [โ– 8(1&โˆ’1@0&2)] = 3 [โ– 8(3&5@4&6)] 2[โ– 8(๐‘ฅ&๐‘ง@๐‘ฆ&๐‘ก)] + 3 [โ– 8(1&โˆ’1@0&2)] = 3 [โ– 8(3&5@4&6)] [โ– 8(๐‘ฅร—2&๐‘งร—2@๐‘ฆร—2&๐‘กร—2)] + [โ– 8(1ร—3&โˆ’1ร—3@0ร—3&2ร—3)] = [โ– 8(3ร—3&5ร—3@4ร—3&6ร—3)] [โ– 8(2๐‘ฅ&2๐‘ง@2๐‘ฆ&2๐‘ก)] + [โ– 8(3&โˆ’3@0&6)] = [โ– 8(9&15@12&18)] [โ– 8(2๐‘ฅ+3&2๐‘งโˆ’3@2๐‘ฆ+0&2๐‘ก+6)] = [โ– 8(9&15@12&18)] [โ– 8(๐Ÿ๐’™+๐Ÿ‘&๐Ÿ๐’›โˆ’๐Ÿ‘@๐Ÿ๐’š&๐Ÿ๐’•+๐Ÿ”)] = [โ– 8(๐Ÿ—&๐Ÿ๐Ÿ“@๐Ÿ๐Ÿ&๐Ÿ๐Ÿ–)] 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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.