Write a function inner$\_$product that takes as its input two vectors a and $b,$ and returns as its output their inner product.

Hint: It will be important to use the conj function to conjugate the appopriate element since $b^{\text{'}}a{b}^T$a when $b$ is complex.

Note the use of the @assert macro to check if the vectors have the same length.

"Compute b$\text{'}*$ a$"$

function inner$\_$product$($a: :AbstractVector, b: :AbstractVector$)$

cassert length $(a)==$ length $(b)$

$n=$ length $(a)$

ip $=0\mathrm{.}0$

for $i$ in $1$: length$($a$)$

ip $+=??[??]*??($b $[??])$

end

return ip

end

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