examI_s02

examI_s02 - EE530 EXAM I Sp r ing2002 N am e : ID# :...

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Unformatted text preview: EE530 EXAM I Sp r ing2002 N am e : ID# : DONOTTURNTH ISPAGEUNT ILYOUARETOLDTODOSO P rob lem W e igh t Sco re 1 15 2 25 3 30 4 30 T o ta l 100 T h istestcon s istso ffou rp rob lem s .A n sw ereachp rob lem ontheexam itse lf;ifyouu seadd it iona l paper ,repeattheiden t ify ing in form at ionabove ,andstap leittotheresto fyou rexamw henyou hand itin .T hequa lityo fyou rana ly s isandeva luat ion isasim portan tasyou ran sw ers .Y ou r reason ingm u stbep rec iseandc lear ;you rcom p lete Eng lishsen tencesshou ldconveyw hatyouare do ing . 1 P rob lem 1 : (15po in ts) C on s iderthefunct ion V ( x )= x T Ax + b T x + c w here x isand b areco lum nvectors , A isam atr ix ,and c isasca lar . 1 .(7po in ts)U s ing im p liedsumm at ionconven t ion ,determ inethegrad ien t 5 x V ( x ) . 2 .(8po in ts)U s ing im p liedsumm at ionconven t ion ,determ inetheH ess ian 5 xx V ( x ) . P rob lem 2 : (20po in ts) 1 .(10po in ts)C on s iderap lan tdescr ibedbytheARMAm ode l y ( k )+ a I y ( k 1)+ a P...
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examI_s02 - EE530 EXAM I Sp r ing2002 N am e : ID# :...

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