Linear Algebra

Study of vectors, matrices, and linear transformations.

Study Strategies

Breaking Down Word Problems

Understanding the Scenario

When you see a word problem, start by identifying the quantities involved and how they might relate to vectors or matrices. Draw a picture, write out what each number means, and look for clues about operations—like addition, multiplication, or transformation.

Steps

  • Read carefully and underline key data.
  • Decide which linear algebra concept fits: vector addition, matrix multiplication, etc.
  • Organize your information into matrices or vectors before solving.

Examples

  • Translating a physics problem about forces into vector addition.

  • Setting up a system of equations from a business scenario using matrices.