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Material Type:
Module
Provider:
Ohio Open Ed Collaborative
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  1. Linear Algebra Course Content
  2. Linear Transformations
    • About this Project
    • Basic Vector Proficiency
    • Systems of Linear Equations
    • Matrix Algebra
    • Linear Combinations, Linear Independence and Span
    • Vector Spaces
    • Linear Transformations
    • Determinants
    • Eigenvalues
  3. LTR-0050: Image and Kernel of a Linear Transformation
    • LTR-0010: Introduction to Linear Transformations
    • LTR-0020: Standard Matrix of a Linear Transformation
    • LTR-0022: Linear Transformations of Abstract Vector Spaces
    • LTR-0025: Linear Transformations and Bases
    • LTR-0030: Composition and Inverses of Linear Transformations
    • LTR-0035: Existence of the Inverse of a Linear Transformation
    • LTR-0070: Geometric Transformations of the Plane
    • LTR-0050: Image and Kernel of a Linear Transformation
    • LTR-0060: Isomorphic Vector Spaces
    • LTR-0080: Matrix of a Linear Transformation

LTR-0050: Image and Kernel of a Linear Transformation

Module Overview

We define the image and kernel of a linear transformation and prove the Rank-Nullity Theorem for linear transformations.

https://ximera.osu.edu/la/LinearAlgebra/LTR-M-0050/main

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