11: Systems of Equations

Elementary Differential Equations with Boundary Values Problems · LibreTexts

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    From LibreTexts, under CC BY, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    • 11.1: Geometry
    • 11.2: Elementary Operations
      We have taken an in depth look at graphical representations of systems of equations, as well as how to find possible solutions graphically. Our attention now turns to working with systems algebraically.
    • 11.3: Gaussian Elimination
      The work we did in the previous section will always find the solution to the system. In this section, we will explore a less cumbersome way to find the solutions. First, we will represent a linear system with an augmented matrix. A matrix is simply a rectangular array of numbers. The size or dimension of a matrix is defined as m×n where m is the number of rows and n is the number of columns.
    • 11.E: Exercises

    Thumbnail: A linear system in three variables determines a collection of planes. The intersection point is the solution. (CC BY-SA 4.0; Fred the Oyster via Wikipedia)

    This page titled 11: Systems of Equations was last modified on Mon, 20 Jul 2020 16:47:49 GMT and is shared under a CC BY license and was authored, remixed, and/or curated by Ken Kuttler (Lyryx) .