WeBWorK Standalone Renderer

(A) Compute the discrete inverse Fourier transform of $\displaystyle \vec{\mathbf{c}} = \Bigl(\frac{-2}{4}, \frac{2i}{4}, \frac{-10}{4}, \frac{-2i}{4}\Bigr)$ .

$\mathcal{F}^{\mathrm{-}1}\Bigl\lbrace \vec{\mathbf{c}} \Bigr\rbrace = \Bigl($ $,\$ $,\$ $,\$ $\Bigr)$

(B) Compute the discrete inverse Fourier transform of $\displaystyle \vec{\mathbf{d}} = \Bigl(\frac{2}{3}, \frac{13 - 3\sqrt{3}i}{6}, \frac{13 + 3\sqrt{3}i}{6}\Bigr)$ .

$\mathcal{F}^{\mathrm{-}1}\Bigl\lbrace \vec{\mathbf{d}} \Bigr\rbrace = \Bigl($ $,\$ $,\$ $\Bigr)$

You can earn partial credit on this problem.