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Unformatted text preview: A = [1 3 43 2 12 4 1 ] (ii) The shortcut here is to note that each matrix in the product is a rotation matrix, i.e., is of the form [ cos(t) sin(t) sin(t) cos(t) ] for some t. From left to right, we have the angles t = pi/6 , pi/2 , theta , pi/3 and pi/4 The product of these matrices is a rotation by a total angle Sheet1 Page 2 pi/6 + pi/2 + theta + pi/3 + pi/4 = 5*pi/4 + theta The product matrix is an identity if and only if the total angle of rotation is 0 (or multiples of 2*pi). Thus we simply have theta = 5*pi/4 (same as 3*pi/4)...
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This note was uploaded on 03/21/2010 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.
 Spring '08
 staff

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