Matrices and determinants
Area of Parallelogram
Submitted by michaela.bailova on Fri, 12/13/2024 - 11:03Determinant of 2x2 Matrix
Submitted by michaela.bailova on Tue, 11/19/2024 - 17:09Determinant of 3x3 Matrix
Submitted by michaela.bailova on Tue, 11/19/2024 - 17:022000019305
Level:
A
Mr. Wise buys fuel at three various gas stations – MOL, Shell and EuroOil. He always buys liters of diesel, cafe latte and nougat croissants.
Prices in CZK:
Consider the next product of the two matrices:
Choose the statement which is NOT true:
The most optimal prices are at the MOL gas station.
The most optimal prices are at the Shell gas station.
The least optimal prices are at the MOL gas station.
2000019304
Level:
A
Adam’s mom and Peter’s mom compete to see who can buy groceries cheaper. For summer weekend, they both want to buy butter, sugar, flour, and vanilla sugar and there are two stores available Aha and Praha.
The following tables show the quantity of items they both plan to buy and their prices in stores Aha and Praha.
What follows from the next product of the two matrices?
For Adam’s mom, it is more convenient to shop at Aha, while for Peter’s mom, it is more convenient to shop at Praha.
For Adam’s mom, it is more convenient to shop at Praha, while for Peter’s mom, it is more convenient to shop at Aha.
Shopping at Aha is more convenient for both moms.
Shopping at Praha is more convenient for both moms.
2000019303
Level:
A
Three ice cream stands of ICE company reported their July sales of four ice cream flavors in number of portions sold. All data can be seen in the table below:
The profits from the sales of each specific flavor are expressed by the matrix
.
Estimate what was the total profit of ICE company in July from all three stands.
more than
from to
from to
less than
2000019302
Level:
A
Three ice cream stands of ICE company reported their July sales of four ice cream flavors in number of portions sold. All data can be seen in the table below:
The profits from the sales of each specific flavor are expressed by the matrix
.
Let the July sales be rewritten to the matrix . By what matrix the profits of individual ice cream stands in July are described?
Profits cannot be determined by any of the matrix operations.
2000019301
Level:
A
Three ice cream stands of ICE company reported their July sales of four ice cream flavors in number of portions sold. All data can be seen in the table below.
The data provided by the stands for August sales are reported in the matrix .
If the July sales are rewritten to the matrix , by what matrix the sales of ice cream for both summer months are described?
matrix
matrix
matrix
matrix
2000018906
Level:
B
Specify how the rank of the matrix changes depending on the value of , where
If , the rank is , otherwise the rank is .
If , the rank is , otherwise the rank is .
If , the rank is , otherwise the rank is .
If , the rank is , otherwise the rank is .