A system of equations can be written in matrix form.<br />Determine the coefficient, variable, and constant matrices.<br /...
Why does it work???<br />Example 8-1a<br />
Write a matrix equation for the system of equations.<br />Answer:<br />Example 8-1b<br />
Use the matrix equation to solve the system of equations.<br />B<br />A<br />X<br />A-1<br />B<br />A-1<br />A<br />=<br /...
A-1<br />=<br />X<br />B<br />
Use a matrix equation to solve the system of equations.<br />A     X  =  B<br />The matrix equation is<br />Example 8-3a<...
A     X  =  B<br />=<br />A-1<br />=<br />X<br />B<br />Answer:	The solution is (5, –4).<br />Example 8-3b<br />
Use a matrix equation to solve the system of equations.<br />The matrix equation is 	when<br />Example 8-4a<br />
The determinant of the coefficient matrix	is 0,so A–1 does not exist.<br />A-1<br />=<br />X<br />B<br />Example 8-4b<br />
Graph the system of equations.<br />Since the lines are parallel, thissystem has no solution.<br />Example 8-4c<br />
Upcoming SlideShare
Loading in...5
×

Alg2 lesson 4-8

268
-1

Published on

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
268
On Slideshare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
Downloads
0
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Alg2 lesson 4-8

  1. 1. A system of equations can be written in matrix form.<br />Determine the coefficient, variable, and constant matrices.<br />Write the matrix equation.<br />A<br />•<br />X<br />B<br />=<br />Answer:<br />Example 8-1a<br />
  2. 2. Why does it work???<br />Example 8-1a<br />
  3. 3. Write a matrix equation for the system of equations.<br />Answer:<br />Example 8-1b<br />
  4. 4. Use the matrix equation to solve the system of equations.<br />B<br />A<br />X<br />A-1<br />B<br />A-1<br />A<br />=<br />X<br /><br />A-1<br />I<br />=<br />X<br />B<br /><br />A-1<br />=<br />X<br />B<br />Example 8-1b<br />
  5. 5. A-1<br />=<br />X<br />B<br />
  6. 6. Use a matrix equation to solve the system of equations.<br />A  X = B<br />The matrix equation is<br />Example 8-3a<br />
  7. 7. A  X = B<br />=<br />A-1<br />=<br />X<br />B<br />Answer: The solution is (5, –4).<br />Example 8-3b<br />
  8. 8. Use a matrix equation to solve the system of equations.<br />The matrix equation is when<br />Example 8-4a<br />
  9. 9. The determinant of the coefficient matrix is 0,so A–1 does not exist.<br />A-1<br />=<br />X<br />B<br />Example 8-4b<br />
  10. 10. Graph the system of equations.<br />Since the lines are parallel, thissystem has no solution.<br />Example 8-4c<br />

×