$8\mathrm{.}1$ Use the built$-$in MATLAB function $fft$ to re$-$calculate the Discrete

$2$ pts

Fourier coefficients for the same four points you used in $7\mathrm{.}5.$ Write out on paper exactly how you used $fft$ :

i$.$ what vectors you created as input to the $fft$ function,

ii$.$ how you called fft $,$

iii. exactly what your MATLAB output from $fft$ was $($I want you to write out all four complex values from MATLAB$),$

iv$.$ and finally, exactly how you used that output to get all the relevant $A_k$ and $B_k.$

$(t_0,lo{n}_0)=(0,0)$

$(t_1,t_1)=(0\mathrm{.}25,2)$

$(t_2,t_2)=(0\mathrm{.}5,4)$

$(t_3,t_3)=(0\mathrm{.}75,6)$