1. Home
  2. >Linear Algebra
Help

Linear Algebra Help & Practice

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get step-by-step breakdowns from our practice solutionsSee your practice accuracy over timeKeep your streak going with our daily recommendations
Currently Learning
?

Become a member to get more!

Join Now
Practice Results
?

Become a member to get more!

Join Now
Suggested Tasks
?

Become a member to get more!

Join Now
  1. 1Linear Equations with Matrices
    ?
    1. 1.1Notation of matrices
    2. 1.2Solving systems of linear equations by graphing
    3. 1.3Representing linear system as a matrix
    4. 1.4The three types of matrix row operations
    5. 1.5Solving a linear system with matrices using Gaussian elimination
    6. 1.6Row reduction and echelon forms
    7. 1.7Linear combination and vector equations in RnR^n
    8. 1.8Matrix equation Ax=b
    9. 1.9Solution sets of linear systems
    10. 1.10Application of linear systems
  2. 2Linear Transformation
    1. 2.1Linear independence
    2. 2.2Image and range of linear transformations
    3. 2.3Properties of linear transformation
    4. 2.4The matrix of a linear transformation
  3. 3Matrix Operations
    1. 3.1Adding and subtracting matrices
    2. 3.2Multiplying a matrix by a scalar
    3. 3.3Multiplying a matrix by another matrix
    4. 3.4Zero matrix
    5. 3.5Identity matrix
    6. 3.6Properties of matrix addition
    7. 3.7Properties of matrix scalar multiplication
    8. 3.8Properties of matrix to matrix multiplication
  4. 4Determinant of a Matrix
    1. 4.1The determinant of a 2 x 2 matrix
    2. 4.2The determinant of a 3 x 3 matrix (General & Shortcut Method)
    3. 4.3Properties of determinants
    4. 4.4Solving linear systems using Cramer's Rule
  5. 5Inverse of Matrices
    1. 5.12 x 2 invertible matrix
    2. 5.2The inverse of a 2 x 2 matrix
    3. 5.3Solving linear systems using 2 x 2 inverse matrices
    4. 5.4The inverse of a 3 x 3 matrices with matrix row operations
    5. 5.5The invertible matrix theorem
  6. 6Subspace of Rn\Bbb{R}^n
    1. 6.1Properties of subspace
    2. 6.2Column space
    3. 6.3Null space
    4. 6.4Dimension and rank
  7. 7Eigenvalue and Eigenvectors
    1. 7.1Eigenvalues and eigenvectors
    2. 7.2The characteristic equation
    3. 7.3Diagonalization
    4. 7.4Complex eigenvalues
    5. 7.5Discrete dynamical systems
  8. 8Orthogonality and Least Squares
    1. 8.1Inner product, length, and orthogonality
    2. 8.2Orthogonal sets
    3. 8.3Orthogonal projections
    4. 8.4Least-squares problem
    5. 8.5Applications to linear models
?
User Testimonials
  • Students and parents love our math help
    But don't take our word for it…
  • Carson E.
    parent

    When we saw our son's grades we looked online for a convenient, affordable and effective solution. StudyPug has been a great investment.

  • Jason G.
    high school senior

    This website saved my butt last semester. I am using it againthis semester. Dennis is the best online tutor... I also like that I can watch videos over and over until I really understand the concept. If you want to save time, sign up...it's only ten bucks and it saved me hours of study time. Thanks, Dennis!

  • Aaron M.
    high school student

    I get a whole library of videos that covers everything from basic to complex mathematics for a very low monthly price. Excellent videos, easy-to-understand and most of all they work. My math test results are 10 points higher than last semester.

  • See all our Testimonials
#1 help and practice for primary, high school, AP & IB courses, university and test prep
What are you waiting for?
Pick your course and start learning for free!
Start Learning