MATH 3510 Chapter Notes - Chapter 1: Augmented Matrix, John Wiley & Sons, Elementary Matrix
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Concept review: linear equation, homogeneous linear equation, system of linear equations, solution of a linear system, ordered n-tuple, consistent linear system, inconsistent linear system, parameter, parametric equations, augmented matrix, elemenetary row operations. Exercise set 1. 1: in each part, determine whether the equation is linear in. Answer: (a) (b) (c) (d: in each part, find the augmented matrix for the given system of linear equations. (a) (b) (c) (d, the curve shown in the accompanying figure passes through the points. Figure ex-15 have the same solution set, then the two equations are identical (i. e. , and. In parts (a) (h) determine whether the statement is true or false, and justify your answer. (a) a linear system whose equations are all homogeneous must be consistent. True (b) multiplying a linear equation through by zero is an acceptable elementary row operation. False (c) the linear system cannot have a unique solution, regardless of the value of k.
