# HW2 - ECE 301 Homework#2 due date...

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http://cobweb.ecn.purdue.edu/ chihw/10ECE301S/10ECE301S.html Question 1: Consider two functions f ( t ) and g ( t ) described as follows. f ( t ) = 3 if - 2 t < 0 1 if 0 t < 4 0 otherwise (1) g ( t ) = 2 - t if - 2 t < 0 2 if 0 t < 2 0 otherwise . (2) Find the value of R -∞ f (2 - t ) g ( t ) dt . Question 2: Review of Trigonometry: Suppose 0 α π/ 2 and π/ 2 β π , and cos( α ) = 0 . 2 sin( β ) = 0 . 4 . Find the values of cos( α - β ) and sin( α + β ). Question 3: Review of complex numbers: Let j be the imaginary number, i.e., j 2 = - 1. Suppose 3 + 3 j = e a + bj e 1 - π 3 j = c + dj. Find the values of a , b , c , and d . Question 4: Suppose A is a 3 by 3 matrix. Consider a linear system that outputs y = Ax where x R 3 is the input signal. To be more precise, x is a column vector of dimensional 3, and y R 3 is the output column vector of dimension 3. Further assume that we know

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HW2 - ECE 301 Homework#2 due date...

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