The impulse response of a system is h(t) = tu(t). For an input u(t – 1), the output is

A. $$\frac{{{t^2}}}{2}u\left( t \right)$$

B. $$\frac{{t\left( {t - 1} \right)}}{2}u\left( {t - 1} \right)$$

C. $$\frac{{{{\left( {t - 1} \right)}^2}}}{2}u\left( {t - 1} \right)$$

D. $$\frac{{{t^2} - 1}}{2}u\left( {t - 1} \right)$$

Answer: Option C