How Do You Multiply a Matrix by a Scalar?

How Do You Multiply a Matrix by a Scalar?

Note:

To multiply a matrix by a scalar, just multiply each element in the matrix by the scalar! To see the entire process, check out this tutorial!

Keywords:

  • problem
  • matrices
  • matrix
  • scalar
  • multiply
  • multiplication
  • product
  • elements

Background Tutorials

  • Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

      • How Do You Multiply and Divide Numbers with Different Signs?How Do You Multiply and Divide Numbers with Different Signs?

      How Do You Multiply and Divide Numbers with Different Signs?

      A positive times a positive is a positive. A negative times a negative is a positive. What about a negative times a positive? This tutorial gives you the answer by showing you how multiply (and divide!) with mixed signs.

      • How Do You Figure Out the Sign of a Product or Quotient?How Do You Figure Out the Sign of a Product or Quotient?

      How Do You Figure Out the Sign of a Product or Quotient?

      Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!