Chapter 6: Linear Equations and Matrix Algebra | ||||||
Duration: 1 hour, 25 minutes and 37 seconds | ||||||
Section |
Section Notes (PDF File) |
Solution (PDF File) |
Items Covered |
Item Page |
* Video File MP4 |
Duration (minutes) |
Section 6.2 | Matrices and Systems of Linear Equations |
Solution: Part a |
Types of equations, the all integer method step by step | 6-1 | ch6(part1) | 23.50 |
All integer method, example 2 (3 equations) | 6-17 | ch6(part2) | 11.07 | |||
All integer method, example 3 (2 equations) | 6-19 | ch6(part3) | 03.06 | |||
All integer Method , special cases: case 1 and case2 | 6-21 | ch6(part4) | 10.40 | |||
Section 6.3 | Matrix Notation, Algebra, and Inverses |
Solution: Part a |
Introduction to Matrices: dimensions, additions, transpose | 6-25 | ch6(part5) | 09.21 |
Matrix Multiplication | 6-32 | ch6(part6) | 15.22 | |||
Finding the inverse matrix | 6-40 | ch6(part7) | 12.09 |
* MP4 file you can download and save: right click, Save Target As or Save Link As
Excel Template to Solve Equations (Only To check your final answers)
Recommended problems
from the book:
6.1: #15, 17, 19, 21, 23, 25, 27, 29
6.2: # 11, 13, 15, 17, 19, 21, 23
6.3: # 15, 17, 21, 23, 25, and 29 (Inverse)
Power Point Template to Learn Multiplication of Matrices: PPT file
Excel Template showing an easy method to find the inverse of 2 by 2 (Method 2)
Extra Problems for Chapter 6 (Hint, solve the equations, and compare to Solution Cases), Answers Key
Excel Templates On Using The All Integer Method:
Helpful Site to
Check your Answers and see Steps
Type the equations with coma between them, such as:
2x - 4y =5 , 5x + 3y=
9, then click on Simplify (you can also type 3
equations)
Link to
a Template online to Calculate Multiplication of Matrices, Inverse Matrices
Enter the dimension, then fill the cells. Select the calculation to find
(mostly multiplication AxB , or Inverse A-1)
Recommended Software : Graphmatica (free trial, very helpful for chapter 6 and 7)