Types of Matrices + Rules
Operations with Matrices
Matrix Multiplication
Problem Solving w/Matrices
Random Matrix Facts
100
A matrix is defined by n x m. What do n & m represent?
n = rows m = columns
100
Where did I go to college?
Belhaven
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 adjusted matrix, when finding the inverse?
Adjoint 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
The actor in the Matrix with these initials: KR
Keanu Reeves?
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
|3+4 5 +6| - |-1 3|
|8 8|
300
Multiplying any square matrix by the corresponding square identity matrix will yield what?
The original matrix.
300
What is the inverse of the matrix |4 -2| |3 5|
1/26 (5,2,-3,4)
300
In Greek mythology Morpheus is the god of
dreams
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 |7| - |8| - |0| - |-5| - |10-38| = ?
|38|
400
Multiplying matrices |3 5 9 0 0 1 2 | x |2|
Not possible
400
Represent these simultaneous equations in matrix form: 4x - 3z + 2y = 4 3y - z = -5 -2z + 6x = -2
(4,-3,2|4), (0,3,-1|-5),(6,0,-2|-2)
400
The size or dimension of a matrix is the number of rows and the number of columns, written in that order, and in the format m × n, read "m by n." If n = m, which means that the number of rows equals the number of columns, then the matrix is called a
Square 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
A matrix (A) is defined as a rectangular ________ of numbers, parameters, or variables. Hint: A is not just the beginning of the alphabet.
array
M
e
n
u