$1.$ Use simple loop$($s$)$ to construct the following n $\backslash$times n matrices;

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

$($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

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