Intro to Matrices
Matrix Operations
Systems of Equations
Matrix Properties
Inverse of Matrices
100
What is the order of this matrix?
2x2
100
Add:
100
An online art store sells paint cans and paint brushes. Each paint can sells for $4, and each paint brush sells for $1.
If Ms. Gresco purchased a total of 11 paint cans and paint brushes that have a combined selling price of $20, Let the paint cans (x) and paint brushes (y)
Write a system of linear equations that represent this situation.
4x+1y=20
x+y =11
100
Which matrix property is this:
the zero property
100
What key do we use in the Desmos matrix calculator to find the inverse?
A-1
200
What is the order of this matrix?
2x4
200
What must be true in order for 2 matrices to be added or subtracted?
They must be the same size
200
A food truck sells salads for $6.50 each and drinks for $2.00 each.
The food truck’s revenue from selling a total of 209 salads and drinks in one day was $836.50.
Set up a system of equations to find the number of salads (x) and drinks (y) that were sold on this day.
6.5x + 2y = 836.5
x + y=209
200
Which matrix property is this:
Additive Inverse Property
200
Find the inverse of the matrix
300
How many Nike shoes were sold in the 3 cities combined?
610
300
Suppose that this year 700 people bought Jordans, 500 people bought Adidas, and 400 people bought Nike. Put this information into a row matrix
[700 400 500]
300
Suppose the New York Giants can buy bobble heads for $9 each and sweat towels for $5 each. The total budget for buying bobble heads and sweat towels is $25,500. The team plans to give a bobble head or sweat towel, but not both, to the first 3,500 fans. The promotion manager for the Giants wants to know how many bobble heads and how many sweat towels should be given away?
**Write and system and put it into a matrix
9x+5y=25500
x+y=3500
300
What happens when you multiply by the multiplicative identity
you get the same thing back
300
Find the inverse of the matrix, if it exists
no inverse exists
400
Who would student D loan money to? 1 means yes, 0 means no
A, B, E
400
If you were to multiply these 2 matrices, what would the labels be? Why?
Across the top: Yankees Braves Red Sox
Side: Nike Under Armour
Why- the labels that are the same "cancel" out
400
An expansion baseball team is planning a special promotion at its first game. Fans who arrive early will get a team athletic bag or a cap, as long as supplies last. Suppose the promotion manager for the team can buy athletic bags for $9 each and caps for $5 each. The total budget for buying bags and caps is $25,500. The team plans to give a bag or a cap, but not both, to the first 3,500 fans. The promotion manager wants to know: How many caps and bags should be given away?
***SOLVE THIS****
2000 athletic bags, 1500 caps
400
How do you know if 2 matrices are inverses?
They multiply to the identity matrix
500
Which city sold the most shoes
NYC
500
Given the matrix below, what would the umber in the first row, second column mean?
How much FHS would spend on school supplies if they chose Staples ($65).