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

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Ex 3.3, 4 If A’ = [■8(−2&1@3&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)] 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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