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Let the matrix A = 1 1 2 2 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

40

Step-by-step solution

A 2 = 1 1 2 2 1 1 2 2 = 3 3 6 6 = 3 A Hence, A 3 = 3 A 2 = 9 A , A 4 = 27 A So, B = 1 + 3 + 9 + 27 A = 40 A

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