Types of Matrices + Rules
Operations with Matrices
Matrix Multiplication
Problem Solving w/Matrices
Dominance Matrices
100
A matrix is defined by n x m. What do n & m represent?
n = rows m = columns
100
Mr. A's first university was what?
University of Minnesota
100
Given matrix A: 3A would be considered what type of matrix multiplication?
Scalar Multiplication
100
Can you find the inverse of a rectangular matrix?
No, only square matrices
100
What is the name of the matrix used to represent the connections between objects/places?
Adjacency Matrix
200
Define a row & a column matrix
Row matrix has only one row. A column matrix only has one column
200
When adding or subtracting matrices, you need to add/subtract the corresponding elements of the respective matrices. True or False
True
200
3 [12 -3 5] is?
[36 -9 15]
200
If the determinant equals zero, what does that indicate?
No inverse exists.
200
Create an adjacency matrix representing the following network. (See board)
Ask the guy who loves Harry Potter
300
What is an identity matrix?
A square matrix with all elements from the top left to bottom right being one's. Every other element is zero.
300
Addition Matrices (see board)
Ask guy with the beard
300
Multiplying any square matrix by the corresponding square identity matrix will yield what?
The original matrix. BONUS: Why did I specify square matrix?
300
What is the inverse of the matrix |4 -2| |3 5|
Ask the guy with an american accent (who is not dylan)
300
How can I find the number of four stage pathways in a network
Raise the adjacency matrix to the power of 4.
400
What must occur for you to be able to add or subtract matrices?
The dimensions of the matrices must be the same.
400
Subtraction of Matrices (See board)
Ask the supreme teacher
400
Multiplying matrices (See board) Must show working by hand.
Ask the man who is unnecessarily savage
400
Represent these simultaneous equations in matrix form: 4x - 3z + 2y = 4 3y - z = -5 -2z + 6x = -2
Ask the guy who says 'keep going' a lot
400
List the steps to solve for the most dominant vertex in a dominance matrix.
1. Create a adjacency matrix to find the one-stage pathways 2. Square the one stage matrix to find the number of two stage pathways. 3. Add the one stage and two stage matrices. 4. Add the each row. The one with the highest value is the most dominant matrix.
500
Matrix A has the dimensions 4 x 5 Matrix B has the dimensions 5 x 1. Can matrix AB be multiplied? Explain why.
Yes they can as the columns in Matrix A match the rows in Matrix B. The final dimensions of AB would be 4 x 1.
500
In the first game of the basketball season, Mr. A scores 11pts, has 6 assists and 3 rebounds. Represent this information as a matrix. In the second game he scores 14pts, has 4 assists and 4 rebounds. Represent this information as a matrix. What are his totals after two games?
Pts = 25 Assists = 10 Rebounds = 7
500
Tickets to the movie IT costs $20.00 for adults, $10.00 for children and $12.50 for seniors. Create a column matrix to represent this information. For opening night, 145 adults, 2 children and 32 seniors attend. Represent this information as a row matrix. Find the product of the two matrices to find the total earning made by the cinema
$3320.00
500
Mr. A sells 4 of his brownies and 3 cookies for $15. The following week he sells 6 of his brownies and 5 cookies for $23.50. Create a matrix to represent this information. Solve for how much each brownie and cookie costs.
Brownie = $2.25 Cookie = $2.00
500
Find the most dominant vertex of the following networks. Show all working. (See board)
Ask the guy who has been telling you to ask the guy.
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