Umat SRID GL 153 beginner

GL 153: Linear algebra

Free study notes for GL 153 (GL153) — Linear algebra at Umat SRID, one topic at a time, each with worked examples and a practice quiz.

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Course Syllabus

  1. Introduction to Vectors and Vector Spaces
  2. Linear Transformations and Matrices
  3. Solving Systems of Linear Equations
  4. Determinants and Inverses
  5. Basis, Dimension, and Rank
  6. Eigenvalues and Eigenvectors (Introduction)

Study Notes

Introduction to Vectors and Vector Spaces

Free model

In linear algebra, we usually represent vectors as ordered lists of numbers, often written as columns:

$$ \mathbf{v} = \begin{pmatrix} x \\ y \end{pmatrix} \quad \text{or} \quad \mathbf{w} = \begin{pmatrix} x \\ y \\ z \end{pmatrix} $$

The numbers inside the vector are called its components or entries. The number of components tells you the vector's dimension. So, $(3, 2)$ is a 2-dimensional vector.

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GL 153: common questions

What does GL 153 cover?

This GL 153 study guide covers 6 topics: Introduction to Vectors and Vector Spaces, Linear Transformations and Matrices, Solving Systems of Linear Equations, Determinants and Inverses, Basis, Dimension, and Rank, Eigenvalues and Eigenvectors (Introduction).

Are these GL 153 notes free?

Yes. Every GL 153 note on this page is free to read without an account. A free account adds practice quizzes, flashcards and a revision plan.

How do I revise for my GL 153 exam?

Read the GL 153 note for each topic, then take its practice quiz: the questions you get wrong come back as flashcards until you know them. Save the course to get a revision plan built around your exam date.