MATH 3510 Chapter Notes - Chapter 2: Augmented Matrix, Row Echelon Form, John Wiley & Sons
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Exercise set 1. 2: in each part, determine whether the matrix is in row echelon form, reduced row echelon form, both, or neither. (a) (b) (c) (d) (e) (f) (g) Answer: (a) (b) (c) (d) inconsistent: in each part, suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. In exercises 5 8, solve the linear system by gauss-jordan elimination. In exercises 9 12, solve the linear system by gaussian elimination: exercise 5. In exercises 13 16, determine whether the homogeneous system has nontrivial solutions by inspection (without pencil and paper). In exercises 17 24, solve the given homogeneous linear system by any method. In exercises 25 28, determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. In exercises 29 30, solve the following systems, where a, b, and c are constants.
