What is the Inverse Property of Matrix Addition?

What is the Inverse Property of Matrix Addition?

Note:

Is the Inverse Property of Matrix Addition similar to the Inverse Property of Addition? Yes, it is! In fact, this tutorial uses the Inverse Property of Addition and shows how it can be expanded to include matrices!

Keywords:

  • matrix
  • matrices
  • inverse
  • additive
  • additive inverse
  • opposite

Background Tutorials

  • Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.

      • What is the Opposite, or Additive Inverse, of a Number?What is the Opposite, or Additive Inverse, of a Number?

      What is the Opposite, or Additive Inverse, of a Number?

      Have you ever combined two numbers together and found their sum to be zero? When that happens, those numbers are called additive inverses of each other! In this tutorial, you'll learn the definition for additive inverse and see examples of how to find the additive inverse of a given value.

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

  • Add, subtract, and multiply matrices of appropriate dimensions.

      • How Do You Add Matrices?How Do You Add Matrices?

      How Do You Add Matrices?

      Adding matrices is easier than you might think! Just find the corresponding positions in each matrix and add the elements in them! This tutorial can show you the entire process step-by-step.

Further Exploration