Ex 3.3, 4 - Chapter 3 Class 12 Matrices

Last updated at April 16, 2024 by

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Ex 3.3, 4 If A’ = [■8(−2&3@1&2)] and B = [■8(−1&0@1&2)] , then find (A + 2B)’ We need to find (A + 2B)’ Finding A A’ = [■8(−2&3@1&2)] A = (A’)’ = [■8(−𝟐&𝟏@𝟑&𝟐)] Also, B = [■8(−1&0@1&2)] 2B = 2 [■8(−1&0@1&2)] = [■8(2(−1)&2(0)@2(1)&2(2))] = [■8(−𝟐&𝟎@𝟐&𝟒)] Now A + 2B = [■8(−2&1@3&2)] + [■8(−2&0@2&4)] = [■8(2+(−2)&1+0@3+2&2+4)] = [■8(𝟎&𝟏@𝟓&𝟔)] ∴ (A + 2B) = [■8(−4&1@5&6)] So, (A + 2B)’ = [■8(−𝟒&𝟓@𝟏&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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.