1. Consider each of the following systems. X1 + x2 33 = 2 i. -x2...
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1. Consider each of the following systems. X1 + x2 – 33 = 2 i. -x2 – 6x3 : 4 -x3 = 1 x1 - 2x2 + 3x3 + x4 = -1 ii. X2 - x3 + x4 = 4 X4 = 2 -xị – 2x2 -2x3 + 3x4 = 1 2x3 + x4 - 3x5 4 iii. -4x4 + 2x5 -3x1 2x2 - 2x3 = 2 iv. X2 - x3 =2 Ox3 4 a. Find the coefficient and augmented matrices of the system. b. Find the basic variables and free variables of the system. c. Solve the system by using back-substitution if it is consistent, and express its solution as a linear combination. d. Determine if the vector b in the right side of the system is a linear combination of the column vectors of the coefficient matrix of the system. 1. Consider each of the following systems. X1 + x2 – 33 = 2 i. -x2 – 6x3 : 4 -x3 = 1 x1 - 2x2 + 3x3 + x4 = -1 ii. X2 - x3 + x4 = 4 X4 = 2 -xị – 2x2 -2x3 + 3x4 = 1 2x3 + x4 - 3x5 4 iii. -4x4 + 2x5 -3x1 2x2 - 2x3 = 2 iv. X2 - x3 =2 Ox3 4 a. Find the coefficient and augmented matrices of the system. b. Find the basic variables and free variables of the system. c. Solve the system by using back-substitution if it is consistent, and express its solution as a linear combination. d. Determine if the vector b in the right side of the system is a linear combination of the column vectors of the coefficient matrix of the system.
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Business Statistics in Practice
ISBN: 978-0077404741
6th edition
Authors: Bruce Bowerman, Richard O'Connell
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