Abstract
In this chapter, we will begin exploring the Radiography/Tomography example discussed in Section 1.2.1.
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Notes
- 1.
See Page xx for examples of non-rectangular geometric configurations.
- 2.
An example of an operation on matrices that is meaningless on images is row reduction.
- 3.
In practice, we typically use m to represent the number of equations and n to represent the number of variables.
- 4.
Reduced echelon form is particularly useful if you want to find a solution to the system. In this case, since the system has no solution, we did not present these additional row operations.
- 5.
For the definition and examples of matrix products, see Section 3.1.2.
- 6.
The definition of a field can be found in Appendix D. The important thing to remember about fields (for the material in this book) is that there are two operations (called addition and multiplication) that satisfy properties we usually see with real numbers.
- 7.
A corollary is a result whose proof follows from a preceding theorem.
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Moon, H.A., Asaki, T.J., Snipes, M.A. (2022). Vector Spaces. In: Application-Inspired Linear Algebra. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-86155-1_2
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DOI: https://doi.org/10.1007/978-3-030-86155-1_2
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