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U5D7 Review Matrices Apr17

Last updated 7 months ago
25 questions
1

What are the dimensions of the matrix?

1

What are the dimensions of the matrix?

1

Which matrix represents the system?

Use the following matrices to answer questions 4 - 6.

1

For which of the following is the solution defined (defined = you are allowed to do the operation and get a solution)? Select all that apply.

1
a = _______
b = _______
c = _______
d = _______
1

Select all the matrices with a determinant.

1

Select all the matrices that can be multiplied by D. example (D)(X) = so D goes first.

For #7 - 11.
Use an inverse matrix to solve the linear system.

1
a = _______
b = _______
c = _______
d = _______
1
a = _______
b = _______
1
a = _______
b = _______
1
a = _______
b = _______
c = _______
d = _______
1
The solution to the system is (_______).
(A-1)(B) = X
Three numbers add up to 217. The second number is 3 more than the first number. The third number is 5 less than the second number.


1
Construct a system of linear equations to describe the situation. Then calculate the determinant to determine whether there will be a unique solution or not.
The determinant is _______ .
1

Is there a unique solution?

1
If there is a unique solution, then find it.
The first number is _______ .
The second number is _______ .
The third number is _______ .
Three numbers add up to 345. The second number is 13 more than the first number. The third number is 11 less than the second number.


1
Construct a system of linear equations to describe the situation. Then calculate the determinant to determine whether there will be a unique solution or not.
The determinant is _______ .
1

Is there a unique solution?

1
If there is a unique solution, then find it.
The first number is _______ .
The second number is _______ .
The third number is _______ .
Model Real World Problems
A rental car company charges a flat daily fee plus a charge for each mile driven. A car rented for 5 days and driven for 300 miles costs $178, while a car rented for 4 days and driven for 500 miles costs $197. Find the daily fee and the charge for each mile driven.
1

Choose the augmented matrix that models the situation.

1
Use matrixes to find the daily fee and the charge for each mile driven.
The daily fee is $_______ and the charge for each mile driven is $_______.
1
You invest $50,000 total into two accounts. One account earns 7.5% interest. The other account earns 5% interest. At the end of the year, you have $53,012.50 in your combined accounts. How much was invested in each of your accounts?
The amount invested in the 7.5% interest account was $_______
The amount invested in the 5% interest account was $_______
1
You invest $10,000 total into two accounts. One account earns 9% interest. The other account earns 6% interest. At the end of the year, you have $10,729.63 in your combined accounts. How much was invested in each of your accounts?
The amount invested in the 9% interest account was $_______
The amount invested in the 6% interest account was $_______
The total cost of five oranges and seven avocados is $25.04 . The cost of each orange is $1 more than the cost of each avocado.
1
Construct a system of linear equations to describe the situation. Then calculate the determinant to determine whether there will be a unique solution or not.
The determinant is _______ .
1

Is there a unique solution?

1
If there is a unique solution, then find it.
The cost of an orange is $_______ .
The cost of each avocado is $_______ .