1252646242 - 1 1 1 1 1 1 1 1 1 1 1 1 H = 1 1 1 1 1 1 1 1 1...

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ECE 635 Dr. N. El Naga Homework # 2 2.1 Let be a primitive element in GF(2 4 ). Use the table given in class to solve the following simultaneous equations for X, Y, and Z: X + 5 Y + Z = 7 , X + Y + 7 Z = 9 , 2 X + Y + 6 Z = 2.2 Construct the vector space V 5 of all 5-tuples over GF(2). Find a three-dimentional subspace and determine its null space. 2.3 Given the matrices: G =
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Unformatted text preview: 1 1 1 1 1 1 1 1 1 1 1 1 H = 1 1 1 1 1 1 1 1 1 1 1 1 1 Show that the row space of G is the null space of H, and vice versa. 2.4 Construct the vector space of all 3-tuples over GF (3). Form a two-dimensional subspace and its dual space....
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