If A = beginpmatrix a 1 0 a endpmatrix, then for any n ∈ N , A n equals-

Question

If A = beginpmatrix a 1 0 a endpmatrix, then for any n ∈ N , A n equals- (A)  beginpmatrix na n 0 na endpmatrix (B)  beginpmatrixan n an-1 0 an endpmatrix (C)  beginpmatrix text na 1 0 text na endpmatrix (D)  beginpmatrixan n 0 an endpmatrix

Tardigrade Admin · Accepted Answer

Correct answer is (b) beginpmatrixan n an-1 0 an endpmatrix

Q. If $A = (a 0 1 a)$ , then for any $n \in N, A^{n}$ equals-

$(na 0 n na)$

$(a^{n} 0 n a^{n - 1} a^{n})$

$(na 0 1 na)$

$(a^{n} 0 n a^{n})$

Correct answer is (b) $(a^{n} 0 n a^{n - 1} a^{n})$

Q. If A=(a0​1a​), then for any n∈N,An equals-

(na0​nna​)

(an0​nan−1an​)

( na 0​1 na ​)

(an0​nan​)