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If A = 2 3 - 1 - 2 and B = ∑ r = 1 10 A r , then the value of det B is equal to

Correct answer

0

Step-by-step solution

Note A 2 = Ι ⇒ A n = Ι (if n is even) & A n = A (if n is odd) So, B = 5 A + Ι = 5 3 3 - 1 - 1 ⇒ B = 0

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