1 / 16

Warm-Up

Warm-Up. Solve the following system:. Matrix Operations. Equal Matrices. Two matrices are considered equal if they have the same number of rows and columns (the same dimensions) AND all their corresponding elements are exactly the same. Identity Matrices.

melvyn
Download Presentation

Warm-Up

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm-Up • Solve the following system:

  2. Matrix Operations

  3. Equal Matrices • Two matrices are considered equal if they have the same number of rows and columns (the same dimensions) AND all their corresponding elements are exactly the same.

  4. Identity Matrices • An identity matrix is a square matrix that has 1’s along the main diagonal and 0’s everywhere else. • When you multiply a matrix by the identity matrix, you get the original matrix.

  5. Matrix Addition • You can add or subtract matrices if they have the same dimensions (same number of rows and columns). • To do this, you add (or subtract) the corresponding numbers (numbers in the same positions).

  6. Matrix Addition/Subtraction Example: Can you predict the answer matrix?

  7. Practice ERROR ***These two matrices do not have the same dimensions, so we cannot add/subtract them together.

  8. Commutativeproperty: Is the addition of matrices commutative? Give examples or counter examples to justify your answer.

  9. Commutativeproperty: Is the subtraction of matrices commutative? Give examples or counter examples to justify your answer.

  10. Scalar Multiplication • To do this, multiply each entry in the matrix by the number outside (called the scalar). This is like distributing a number to a polynomial.

  11. Scalar Multiplication Example: Can you predict the answer matrix?

  12. Practice

  13. Practice: =

  14. Other operations • There are other operations for matrices, which are beyond the scope of this class. • You can take math courses in college that involve more of matrix operations. • However, if you are interested to learn more refer to slides beyond the homework slide.

  15. What you should know: • How to determine the dimension of a matrix. • How to add or subtract matrices. • How to multiply a matrix by a scalar. • How to use you’re the matrix key on your calculator to solve for systems of equations.

  16. Homework: • See worksheet.

More Related