Question

If $A$ is the diagonal matrix diag $\left(d_{1} , d_{2 } , d_{3}, .... , d_{k}\right)$ then $ A^{n} , n \in N $ is

• A. diag $\left(nd_{1} , nd_{2},nd_{3} ,....,nd_{k}\right)$
• B. diag $\left(d_{1}^n , d_{2}^n,d_{3}^n ,....,d_{k}^n \right)$
• C. diag $\left(d_{1}^{n -1} , d_{2}^{n -1},d_{3}^{n-1} ,....,d_{k}^{n-1} \right)$
• D. none of these

Answer 1

Answer: (B)

Correct answer is (b) diag $\left(d_{1}^n , d_{2}^n,d_{3}^n ,....,d_{k}^n \right)$