If you are planning to pursue a career in a math-intensive field, you will eventually move beyond basic elementary algebra into a more advanced form of the material. Linear Algebra involves the study of linear sets of equations and how they transform in various dimensions. By starting with basics such as lines and planes, you learn concepts that allow for multi-dimensional reasoning, including matrices, vectors, and transformation. The material applies to both pure and applied mathematics, and the techniques are used in a wide variety of fields such as physics, computer science, engineering, animation, and economics. Linear Algebra is an advanced branch of mathematics, and is typically studied by college students following at least two semesters of calculus.

Free comprehensive Linear Algebra preparation is available using Varsity Tutors’ Learning Tools Learn by Concept. The study material on the web site is set up like a class syllabus. The interactive format allows you to click on a unit or topic, which brings you to a set of sample questions for the topic chosen, with a set of multiple-choice answers. You can look at the possible answers first, or go right to work on the problem, and then choose what you determine to be the correct answer. Then you can check to see if you got the answer correct.

The helpfulness of Learn by Concept goes beyond just looking at questions and answers. Detailed descriptions for how to arrive at the correct answer are provided for each question, and can be viewed regardless of whether you got the answer right. Anyone can go through the process step by step, no matter how small that step may be. If you get the answer wrong, you can quickly identify where you ran into a problem and how to fix that problem. In addition, if you get the answer right, you can confirm if you genuinely know the material or if you actually need more study help for the topic.

The Learn by Concept tool can be used by anyone studying Linear Algebra, whether they need a study guide for the entire class or are just looking to review for a specific test. The tool includes units on Linear Equations, Matrices, Matrix Calculus, and Operations and Properties, along with a number of specific topics within each unit. No matter what Linear Algebra topic you want to review, you can find sample questions about it.

Although the Learn by Concept tool is helpful on its own, it is not meant to be used alone. You can start by taking the free Full-Length Practice Test to help identify problem areas and shape future study sessions. You can also take a number of shorter Practice Tests on specific topics, or even create your own test to review the progress you have made. After studying the Learn by Concept example questions for the areas you are focusing on, you can get further help from the free Learning Tools Flashcards. Just like with the Practice Tests, the Flashcards can be sorted by category or customized based on your study needs. At any point in the review process, you test yourself on a random Linear Algebra question from a random topic by using the Question of the Day tool. No matter what your study goals are, using Varsity Tutors’ Learning Tools will help you stay organized and prepared.

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