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```Pre-Calculus
Name _______________________
Matrices Review Worksheet
Period _____
Do not use a calculator or desmos. Be sure to show all your work especially on the test.
 2 1 3 
0 2 4 
and B  
1. Solve for matrix X in the equation 4 B  2 X  2 A where A  

 .
 1 0 4 
3 0 1 
2. An electronics manufacturer produces three models of high-definition televisions, which are shipped to two
warehouses. The shipment levels are represented by matrix 𝑆. The prices per unit are represented by the
matrix 𝑃. Compute 𝑃𝑆 and interpret the result.
𝑊𝑎𝑟𝑒ℎ𝑜𝑢𝑠𝑒
⏞5000 4000 𝐴
𝑆 = [6000 10000] 𝐵} 𝑀𝑜𝑑𝑒𝑙
8000 5000 𝐶
3. Solve for 𝑋 in 𝐴𝑋 = 𝐵, given 𝐴 = [
1
2 5
] and 𝐵 = [
2
1 3
𝑃 = [\$700 \$900 \$1100]
−1
]
0
1 1
4. Given points 𝐴(2,1). Find the image of the under the transformation matrix 
 . State what the new
3 1 
coordinates would be. Then, describe the transformation.
5. Use reduced row echelon form of matrices to solve the system of linear equations.
x
 3z  2
3x  y  2 z  5
2x  2 y  z  4
6.
7.
Write the partial fraction decomposition for the following rational functions:
8.
Don’t forget to study the linear programming word problems. Our test includes 7.1 through 7.4. Please makes
sure to review all hw as well as all cw from this unit.
```
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