Unformatted text preview: (b) (5 points) Deﬁne a ﬁeld with three elements: 0 , 1 ,ω . 3. Complex Numbers Consider z = 34 i . (a) (5 points) Compute  z  . (b) (5 points) Compute the real and imaginary parts of 1 /z . (c) (5 points) Write z in polar form. 4. Bases Consider v 1 = [1 2 i 3] v 2 = [2 3 1]. (a) (5 points) Compute v 1 · v 2 . (b) (5 points) Compute  v 1  2 (c) (5 points) Show that v 1 and v 2 are linearly independent. (d) (10 points) Use v 1 and v 2 to build an orthonormal bases. 5. Matrices Consider A = ± 5 2 7 2 9 8 ² and B = 2 3 5 7 11 13 (a) (5 points) Compute AB if it is valid, or state invalid. (b) (5 points) Compute BA if it is valid, or state invalid. Page 1 of 1...
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This note was uploaded on 02/21/2010 for the course EEL 3105 taught by Professor Boykins during the Spring '10 term at University of Florida.
 Spring '10
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