In the first 2 problems, we are going to prove that induction and strong induction are actually equivalent. Let P(n) be a statement for n ≥ 1. Suppose • P(1) is true; ● for all k ≥ 1, if P(k) is true, then P(k + 1) is true. Prove by strong induction that P(n) is true for all n ≥ 1.

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A: The False statement is  Det(AB)= Det(A) + Det(B)

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Q: (a) V = R³, S = I 18 (b) V = R³, S = Y : 5x - 2y + 8z = 1 N 484 : x = y² S N Answer to (a): Answer…

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A: 14. Given that T be the statement: For every integer, a,        if a mod 6 = 3, then a mod 3≠2.

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