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41.0: Introduction

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    70547

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    Hydra
    Image from: Wikipedia

    Agenda for today’s class (80 minutes)

    1. (20 minutes) Pre-class Review
    2. (20 minutes) Solve Linear Systems
    3. (30 minutes) Overdetermined Systems
    4. (30 minutes) Underdetermined Systems

    In this assignment, we try to solve the linear systems \(Ax=b\) in three different categories.

    • \(A\) is a square matrix. Unique solution when \(A\) is invertible
    • overdetermined (more equations than unknowns): If \(A\) has full column rank, the system has an unique solution when \(b\) is in the column space of \(A\), otherwise no solution.
    • underdetermined (more unknowns than equations): If \(A\) has full row rank, there are infinite many solutions.

    This page titled 41.0: Introduction is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Dirk Colbry via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.