Determine the set of solutions of each of the following systems of linear equations. You may...
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Determine the set of solutions of each of the following systems of linear equations. You may assume that F= R if there is no comment about the base field F. (1) 2x + y = 8 5x + 4y = 29 (2) (3) 2x X ix where the system of linear + X 3x 6x + - 3y + y + 2 -3 equations is defined over F = C. SRSR where the system of linear equations is defined over the field F = Z/3Z (Recall that F = {0, 1, 2} as a set, and the addition/multiplication is defined as usual addition/multiplication modulo 3). Y X + 2y = 1 2x + Y = 2 2y + Y 2x + 2y - N I+II iz = 4 - 32 +2u = 2 1 4z 6z +52 + U + 3u = 7 0 = 4 = Determine the set of solutions of each of the following systems of linear equations. You may assume that F= R if there is no comment about the base field F. (1) 2x + y = 8 5x + 4y = 29 (2) (3) 2x X ix where the system of linear + X 3x 6x + - 3y + y + 2 -3 equations is defined over F = C. SRSR where the system of linear equations is defined over the field F = Z/3Z (Recall that F = {0, 1, 2} as a set, and the addition/multiplication is defined as usual addition/multiplication modulo 3). Y X + 2y = 1 2x + Y = 2 2y + Y 2x + 2y - N I+II iz = 4 - 32 +2u = 2 1 4z 6z +52 + U + 3u = 7 0 = 4 =
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Lets solve each system of linear equations 1 Over the field of real numbers FR First lets solve the first equation for y y 8 2x Substitute this into the second equation 5x 48 2x 29 5x 32 8x 29 3x 3 x ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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