1 / 9

Matrices - Multiplication

Matrices - Multiplication. Assume that matrix A is of order m  n and matrix B is of order p  q. To determine whether or not A can be multiplied times B, write the matrices with their orders . A B m  n p  q. .

read
Download Presentation

Matrices - Multiplication

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. Matrices - Multiplication • Assume that matrix A is of order m  n and matrix B is of order p  q. To determine whether or not A can be multiplied times B, write the matrices with their orders ... A B m  n p  q. • If the two inside numbers are the same, then matrix multiplication is possible. • When multiplication is possible, the resulting matrix will have an order determined by the outside numbers.

  2. Matrices - Multiplication • Example 1: • Find AB where A and B are given by ... 2  3 3  4 • Since the inside numbers are the same, the multiplication • is possible. • The resulting matrix will be 2  4. Slide 2

  3. 2  4 Matrices - Multiplication • The process of multiplying is as follows: • To get the first entry of the product matrix, note that it is the row 1 column 1 entry.  • Multiply row 1 of matrix A times column 1 of matrix B. Slide 3

  4. Matrices - Multiplication • Multiply pairs of numbers by moving across the row and down the column, and add the products. (1)(1) + (-2)(3) + (3)(-2) = 1 - 6 - 6 = -11 Slide 4

  5. Matrices - Multiplication  • The next entry of the product matrix is in row 1 and column 2. • Multiplying as before with row 1 of matrix A and column 2 of matrix B ... (1)(0) + (-2)(-2) + (3)(-1) = 1 Slide 5

  6. Matrices - Multiplication The row 1 column 3 entry is ... The row 1 column 4 entry is ... The row 2 column 1 entry is ... The row 2 column 2 entry is ... The row 2 column 3 entry is ... The row 2 column 4 entry is ... Slide 6

  7. Matrices - Multiplication • Thus, the product of the matrices is ... Slide 7

  8. Matrices - Multiplication • Example 2: • Find CD where C and D are given by ... • The answer is ... Slide 8

  9. Matrices - Multiplication END OF PRESENTATION Click to rerun the slideshow.

More Related