MAT1360 Classwork - Seattle Pacific University



MAT 2401 Homework 1.1 1.2 Part I Name:________________________________

1. (10 points) (a) Solve [pic] by Gauss-Jordan Elimination.

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|[pic] |

(b) Verify your answer in (a). Please show some details.

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|[pic] |

2. (10 points) Solve [pic] by Gauss-Jordan Elimination.

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|[pic] |

3. (5 points) Suppose we have a system of two linear equations in two variables[pic]and[pic]. The following illustrate three different scenarios during the process of Gauss-Jordan Elimination.

(a) (1 point) The reduced row-echelon form (RREF) is [pic]. What is the solution of the system?

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(b) (2 points) The augmented matrix becomes [pic]. Covert the matrix back to linear equations. Are there any solutions? If so, find one solution for the system. If no, explain why?

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(c) (2 points) The augmented matrix becomes [pic]. Covert the matrix back to linear equations. Are there any solutions? If so, find one solution for the system. If no, explain why?

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[pic]

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