Matrix Operations
Inverses & Determinants
Properties
Systems of equations Word Problems
Systems
100
[2 3 5] + [3 5 8] = ?
What is [5 8 13]
100
The difference of the products of elements on the leading and non-leading diagonals
What is the determinant?
100
How many rows and columns are in the following matrix?
1 row, 4 columns
1 x 4
100
At Irons & Ale, each slider has 350 calories and each onion ring has 40 calories. A combination meal with sliders and onion rings has a total of 11 sliders and onion rings altogether and contains 1370 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of onion rings in the combination meal.
x + y = 11
350x + 40y = 1370
100
Write the matrices you would use to solve the following system.
{(2x+2y=8),(3x+3y=12):}
[[2,2],[3,3]]
[[x],[y]]
[[8],[12]]
200
Do the following, and determine the element a22 of result:
What is a22 = 10?
|-25 -30 20|
|-20 10 5 |
200
The determinant can not be determined.
What is a non-square matrix
200
What is a number in a matrix called?
An element
200
George has $2.60 worth of dimes and quarters. He has a total of 14 dimes and quarters altogether. Write a system of equations that could be used to determine the number of dimes and the number of quarters that George has.
x + y = 14
0.10x + 0.25y = 2.60
200
Solve the system using the substitution method.
y = 5x - 2
4x + 8y = 6
What is...
(1/2 , 1/2)
300
[5 4] - [2 -3] = ?
What is [3 7]
300
Find the Determinant of the following matrix:
-18
300
What are the operations that can be performed on matrices?
What is
Addition of Matrices
Subtraction of Matrices
Multiplication of Matrices
300
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 25 books and each large box can hold 35 books. A total of 15 boxes were sent which can hold 455 books altogether. Determine the number of small boxes sent and the number of large boxes sent.
7 small boxes
8 large boxes
300
Find the solution of the systems of equations using the elimination method
{(-x,-2y,=,4),(2x,+8y,=,-28):}
what is
(6,-5)
400
When multiplying the following matrices(A & B), what is the output at c21?
What is c21 = -8 + 10 = 2
400
Find the inverse of the following matrix:
400
What has to be true when adding or subtracting two matrices?
They have to have the same dimensions
400
Mrs Rico and her children went into a movie theater and she bought $53 worth of candies and pretzels. Each candy costs $5 and each pretzel costs $3. She bought a total of 13 candies and pretzels altogether. Determine the number of candies and the number of pretzels that Mrs Rico bought.
7 candies
6 pretzels
400
Solve by elimination
3x + 4y = -13 and 5x + 6y = -19
What is (1, -4)
500
Mechanical pencils cost $4.95, pens cost $2.99, and notebooks cost $3.49. Olivier bought 12 mechanical pencils, 8 pens, and 7 notebooks. Paulina bought 6 mechanical pencils, 12 pens, and 9 notebooks. Use matrices to find the total amount Olivier spent.
500
Find the determinant if possible.
[1 0 -1
5 -2 0
1 6 2]
-36
500
What has to be the true when multiplying two matrices?
The number of columns in the first matrix has to be equal to the number of rows in the second matrix.
500
The BFA Comet soccer team sold three kinds of tickets to its latest game. The adult tickets sold for $10, the student tickets for $8 and the child tickets for $5. The soccer team was thrilled to have sold 600 tickets and brought in $4,900 for one game. The number of adult tickets is twice the number of child tickets. How many of each type did the soccer team sell?
200 adult tickets, 300 student tickets, and 100 child tickets
500
Solve the following system of equations for all three variables
{(-8x,+7y,-8z,=,-9),(-8x,+7y,-10z,=,-7),(x,-2y,+z,=,9):}
what is
x=-4, y=-7, z=-1
600
2C + A
What is
|7 -19|
|0 15|
600
Are the following matrices inverse? How do you know?
[[12, 4, -7],[-2, -1, 5],[3, -8, 6]] and [[-12, -4, 7],[2, 1, -5],[-3, 8, -6]]
No, because when you multiply them together, it will not make an Identity matrix.
600
Find the mistake in their steps to find the determinant, and then say what the correct answer should have been:
[[5,3],[-1,2]]
(5*2) + (3*-1)
(10) + (-3)
=7
They added the two products together instead of subtracting. The correct answer should be
10 - -3 = 13
600
Jyll, Caitlyn, and Kylie went shopping at DSW. Jyll bought 2 pairs of sandals, a pair of heels, and a pair of sneakers for $84.99. Caitlyn bought 3 pairs of heels and 2 pairs of sneakers for $134.97. Kylie bought a pair of sandals, a pair of heels, and 4 pairs of sneakers for $159.99. How much do sandals, heels, and sneakers each cost?
$15 for sandals, $24.99 for heels and $30 for sneakers
600
Find the area of a triangle with the following coordinates (-3, 3), (2, 4) and (3, -1)
13 square units