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midterm09 - L Vandenberghe EE103 Midterm Exam You have time...

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L. Vandenberghe 10/27/09 EE103 Midterm Exam You have time until 9:30. Only this booklet should be on your desk. You do not need a calculator. Please turn off and put away your cellphones. Write your answers neatly and concisely in the space provided after each question. You can use the blank pages on the left as scratch paper. Provide enough detail to convince us that you derived, not guessed, your answers . Your name: Your student ID#: Your left neighbor’s name: Your right neighbor’s name: Problem 1 /10 Problem 2 /15 Problem 3 /10 Problem 4 /15 Total /50 1
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Formulas Vectors and matrices Relation between inner product and angle: x T y = bardbl x bardbl bardbl y bardbl cos negationslash ( x, y ) Flop counts for basic operations ( α is a scalar, x and y are n -vectors, A is an m × n -matrix, B is an n × p -matrix) Inner product x T y : 2 n 1 flops ( 2 n flops for large n ) Vector addition x + y : n flops Scalar multiplication αx : n flops Matrix-vector product Ax : m (2 n 1) flops ( 2 mn flops for large n )
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