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# HW2 - ECE 301 Homework#2 due date Please turn in HW2 to Ms...

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Please turn in HW2 to Ms. Bonnie Misner, MSEE 330 http://cobweb.ecn.purdue.edu/ chihw/10ECE301F/10ECE301F.html Question 1: [Basic] Consider two functions f ( t ) and g ( t ) described as follows. f ( t ) = 2 if - 2 t < 0 1 if 0 t < 4 0 otherwise (1) g ( t ) = 3 + t if - 3 t < 0 3 if 0 t < 2 0 otherwise . (2) Find the value of R -∞ f (1 - t ) g ( t ) dt . Question 2: [Basic] Review of Trigonometry: Suppose - π/ 2 α 0 and π β 3 π/ 2, and cos( α ) = 0 . 2 sin( β ) = - 0 . 4 . Find the values of cos( α + β ) and sin( α - β ). Question 3: [Basic] Review of complex numbers: Let j be the imaginary number, i.e., j 2 = - 1. Suppose 3 + 3 j = e a + bj e 2+ 4 π 3 j = c + dj. Find the values of a , b , c , and d . Question 4: [Basic] 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

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HW2 - ECE 301 Homework#2 due date Please turn in HW2 to Ms...

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