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Ex 3.3, 4 - Find (A + 2B)' if A' = [-2 1 3 2] - Matrices CBSE

Ex 3.3, 4 - Chapter 3 Class 12 Matrices - Part 2

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Transcript

Ex 3.3, 4 If A’ = [■8(−2&[email protected]&2)] and B = [■8(−1&[email protected]&2)] , then find (A + 2B)’ We need to find (A + 2B)’ Finding A A’ = [■8(−2&[email protected]&2)] A = (A’)’= [■8(−2&[email protected]&2)] Also, B = [■8(−1&[email protected]&2)] 2B = 2 [■8(−1&[email protected]&2)] = [■8(2(−1)&2(0)@2(1)&2(2))] = [■8(−2&[email protected]&4)] Now A + 2B = [■8(−2&[email protected]&2)] + [■8(−2&[email protected]&4)] = [■8(2+(−2)&[email protected]+2&2+4)] = [■8(0&[email protected]&6)] ∴ (A + 2B) = [■8(−4&[email protected]&6)] So, (A + 2B)’ = [■8(−4&[email protected]&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.