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Alg2 lesson 4-8
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 = Answer: Example 8-1a
2.
Why does it
work??? Example 8-1a
3.
Write a matrix
equation for the system of equations. Answer: Example 8-1b
4.
Use the matrix
equation to solve the system of equations. B A X A-1 B 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