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# Alg2 lesson 4-8

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• 1. A system of equations can be written in matrix form.
Determine the coefficient, variable, and constant matrices.
Write the matrix equation.
A

X
B
=
Example 8-1a
• 2. Why does it work???
Example 8-1a
• 3. Write a matrix equation for the system of equations.
Example 8-1b
• 4. Use the matrix equation to solve the system of equations.
B
A
X
B
A-1
A-1
A
=
X

A-1
I
=
X
B

A-1
=
X
B
Example 8-1b
• 5. A-1
=
X
B
• 6. Use a matrix equation to solve the system of equations.
A  X = B
The matrix equation is
Example 8-3a
• 7. A  X = B
=
A-1
=
X
B
Answer: The solution is (5, –4).
Example 8-3b
• 8. Use a matrix equation to solve the system of equations.
The matrix equation is when
Example 8-4a
• 9. The determinant of the coefficient matrix is 0,so A–1 does not exist.
A-1
=
X
B
Example 8-4b
• 10. Graph the system of equations.
Since the lines are parallel, thissystem has no solution.
Example 8-4c