Use simple loop$($s$)$ to construct the following $nn$ matrices;

$($a$)$ Antidiagonal matrix when the inputs are $1s$ and $0s$

$($b$)$ Permutation matrix when the inputs are $n$ entries

$($c$)2$D and $3$D rotation matrices by taking angles as the input

$($d$)$ Discrete Fourier transform matrix by taking the primitive $n$ root of the unity as the input

$($e$)$ Vandermonde matrix by taking the $n$ nodes as the input