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Ex 3.2, 10 - Solve for x, y, z, t, if 2 [x z y t] - Addition/ subtraction  of matrices

Ex 3.2, 10 - Chapter 3 Class 12 Matrices - Part 2
Ex 3.2, 10 - Chapter 3 Class 12 Matrices - Part 3

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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’[email protected]&2)] = 3 [โ– 8(3&[email protected]&6)] 2[โ– 8(๐‘ฅ&๐‘ง@๐‘ฆ&๐‘ก)] + 3 [โ– 8(1&โˆ’[email protected]&2)] = 3 [โ– 8(3&[email protected]&6)] [โ– 8(๐‘ฅร—2&๐‘งร—[email protected]๐‘ฆร—2&๐‘กร—2)] + [โ– 8(1ร—3&โˆ’1ร—[email protected]ร—3&2ร—3)] = [โ– 8(3ร—3&5ร—[email protected]ร—3&6ร—3)] [โ– 8(2๐‘ฅ&2๐‘ง@2๐‘ฆ&2๐‘ก)] + [โ– 8(3&โˆ’[email protected]&6)] = [โ– 8(9&[email protected]&18)] [โ– 8(2๐‘ฅ+3&2๐‘งโˆ’[email protected]๐‘ฆ+0&2๐‘ก+6)] = [โ– 8(9&[email protected]&18)] [โ– 8(2๐‘ฅ+3&2๐‘งโˆ’[email protected]๐‘ฆ&2๐‘ก+6)] = [โ– 8(9&[email protected]&18)] 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 Hence x = 3 , y = 6 , z = 9 & t = 6

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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.