4'4 Solving Systems With Matrix Equations

1
4.4 Solving Systems With Matrix Equations
2
Essential Question How can I use matrices to
solve systems of linear equations? Objective
Use matrices to solve systems of linear equations
in mathematical and real-world situations.
3
Glossary Terms matrix equation written in the
form AX B
Constant Matrix
Coefficient Matrix
Variable Matrix
4
(No Transcript)
5
Key Skills Use matrices to solve systems of
linear equations. Write the system as a matrix
equation AXB. Insert a zero for any missing
variable in an equation. Solve the system
by using a graphics calculator to solve the
matrix equation.
6
Example Randy saved gas by only using his car to
travel to and from work and the grocery store.
One week he made 5 round trips to work and 2
round trips to the store. He noticed on the
odometer that he had traveled 61.2 miles. The
next week 4 round trips to work and 3 round trips
to the store gave a total mileage of 55.4. Write
a matrix equation that represents this
information.
7
Example Randy saved gas by only using his car to
travel to and from work and the grocery store.
One week he made 5 round trips to work and 2
round trips to the store. He noticed on the
odometer that he had traveled 61.2 miles. The
next week 4 round trips to work and 3 round trips
to the store gave a total mileage of 55.4. Write
a matrix equation that represents this
information.
8
Write the matrix equation that represents the
system. Then solve for the variables.