Download Lesson 1 - Coweta County Schools

Notes Over 4.1
Adding and Subtracting Matrices
Perform the indicated operation, if possible
4  2 
 2 5 

1. 
 0 7 

 1  3 0 0


2 2
3 2
To add or subtract
matrices, they must
have the same
dimensions.
You cannot
add them
Notes Over 4.1
Adding and Subtracting Matrices
Perform the indicated operation, if possible
 6
 5 0 - 4 +




2.  2 1  +  2 +
 2
 4  3 +
 1 - 3 
3 2
3 2
 1

4

 5
6
3
-6




To add or subtract
matrices, they must
have the same
dimensions.
Notes Over 4.1
Solving a Matrix Equation
Solve the matrix equation for x and y.
3. 3x 2
4  9  y 4
3x  9
2  y
3 3
x3
y  2
Equate
corresponding
entries involving
x and y.
Notes Over 4.1
Solving a Matrix Equation
Solve the matrix equation for x and y.
2 y  1 5
4. 


  6 0  x
2 y  5  5
4  5 3



8  7 8 
Equate
corresponding
entries involving
x and y.
 6  x  7
5 5 6
6
2 y   10
x  1
2
2
y  5
Notes Over 4.1
Using Matrix Operations
5. Using the matrix B on health care
costs, write a matrix C for the following
year that shows the cost after a 2%
decrease.
Individual Family
Comprehensive $683.91 $1699.48
HMO Standard
HMO Plus
$463.10

$499.27
$670.23

$
453
.
84

$489.28

$1217.45  0.98
$1273.08

$1665.49

$1193.10
$1247.62
Notes Over 4.1
Using Matrix Operations
6. Using the matrix B on health care
costs, write a matrix C for the following
year that shows the cost after a 3%
increase.
Individual Family
Comprehensive $683.91 $1699.48
HMO Standard
HMO Plus
$463.10

$499.27
$704.43

$
476
.
99

$514.25

$1217.45 1.03
$1273.08

$1750.46

$1253.97
$1311.27
Notes Over 4.1