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# Alg2 lesson 4-8

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### 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 />