CUET Preparation Today
If A is a skew-symmetric matrix and $n\in N$ such that $(A^n)^T=\lambda A^n, \lambda $ is : |
$(-1)^n$ $(-1)^{n+1}$ $(-1)$ $(-1)^2$ |
$(-1)^n$ |
The correct answer is Option (1) → $(-1)^n$ If A is a skew-symmetric matrix, $A^T=-A$ $⇒(A^n)^T=(A^T)^n$ $=(-A)^n=(-1)^nA^n$ $⇒λ=(-1)^n$ |
