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 $\left(n{d}_1,n{d}_2,n{d}_3,....,n{d}_k\right)$
• 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 $\left(d_1^n,d_2^n,d_3^n,....,d_k^n\right)$