Math 260, Spring 2017, Assignment 1

By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and all its progeny as a deformed and abortive creation; and entertained the greatest disdain for a would-be science, which could never even step within the threshold of real knowledge. In this mood of mind I betook myself to the mathematics, and the branches of study appertaining to that science, as being built upon secure foundations, and so, worthy of my consideration.

- Mary Shelley, Frankenstein

Carefully define the following terms, then give one example and one non-example of each:

1. System of linear equations.
2. Size (of a linear system).
3. Matrix.
4. Augmented matrix (of a linear system).
5. Coefficient matrix (of a linear system).
6. Augmentation vector (of a linear system).

Solve the following problems:

1. Section 1.1, problems 3, 5, 7, 11, 13, 24, and 30.

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