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Let A = 1 1 3 3 and B = A + A 2 + A 3 + A 4 . If B = λ A ,   ∀ λ ∈ R , then the value of λ is equal to

Correct answer

85

Step-by-step solution

A 2 = 1 1 3 3 1 1 3 3 = 4 4 12 12 = 4 A So, A 3 = 4 A 2 = 16 A , A 4 = 64 A Hence, B = 1 + 4 + 16 + 64 A = 85 A

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