Given $$f(t)$$ and $$g(t)$$ as shown below

$$g(t)$$ can be expressed as

Given $$f(t)$$ and $$g(t)$$ as shown below

The laplace transform of $$g(t)$$ is

A point $$z$$ has been plotted in the complex plane as shown in the figure below

The plot of the complex number $$w = 1/z$$

The two vectors $$\left[ {\matrix{ 1 & 1 & 1 \cr } } \right]$$ and $$\left[ {\matrix{ 1 & a & {{a^2}} \cr } } \right]$$ where $$a = - {1 \over 2} + j{{\sqrt 3 } \over 2}$$ and $$j = \sqrt { - 1} $$ are