1 / 12

Chapter 4

Chapter 4. Introduction to Matrices (pre section 4-4). Matrix. Plural: matrices A rectangular array of variables or constants in horizontal rows and vertical columns The variables & constants are called elements when they are in a matrix. Matrix.

kyrene
Download Presentation

Chapter 4

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. Chapter 4 Introduction to Matrices (pre section 4-4)

  2. Matrix • Plural: matrices • A rectangular array of variables or constants in horizontal rows and vertical columns • The variables & constants are called elements when they are in a matrix

  3. Matrix • Matrices are described by their dimensions, which is the number of rows by the number of columns • r x c

  4. Find the dimensions: 2 x 3 3 x 1

  5. Solve: set corresponding elements equal to each other

  6. Solve:

  7. Matrix OperationsFind A + B: A = B =

  8. Find A + B: A = B = • For addition (or subtraction) of matrices: • matrices must have same dimensions • commutative: A + B = B + A • associative: (A + B) +C = A + (B + C)

  9. Find A – B: A = B =

  10. Scalar multiplication: • Multiplying any matrix by a constant • Obeys the distributive property Find 3A: A =

  11. Find 4A – 3B: A = B = (See note sheet for matrix multiplication.)

  12. Homework: • Worksheet (20 problems)

More Related