Properties
Scalar and Elements
Operation on matrices
Determinant
Matrix mysteries
100
What is the term used to refer to the number of rows and columns in a matrix
Order of a matrix
or
Dimension of a Matrix
100
Identify element a23 from A =
What is a23 = 2
100
To add two matrices together, they have to have ?
The same dimension.
100
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
100
How do you know if two matrices are inverses?
When you multiply them together, their product equals an Identity matrix.
200
The shape of a matrix is generally ______________
Rectangular
200
These are the numbers inside of a matrix.
Elements or members
200
What are the operation that can be performed on matrices?
Addition of Matrices
Subtraction of Matrices
Multiplication of Matrices
200
Find the determinant if possible.
[1 0 -1
5 -2 0
1 6 2]
-36
200
When giving the dimension of a matrix we read these first, and these second.
Rows first and columns second
300
A matrix with m rows and n columns is described as
A m x n matrix
300
When multiplying the following matrices(A & B), what is the output at c32?
What is c32 = 1*3 + 6*4 = 27
300
Simplify the following
5[1 3 5]=
5[1 3 5] = 5 x1 3x5 5x5
=[5 15 25]
300
A matrix with a value of zero says it must be a __________ matrix
What is singular?
300
What is the second row, second column element of the matrix A
7
400
This matrix has the same number of rows as columns.
A square matrix?
400
Do the following scalar multiplication and determine all elements of the result:
What is 4*(-4) 4*(3) 4*(-5)?
| -16 |
| 12 |
| -20 |
400
Simplify the following matrices based problem:
400
Will the following matrix have an inverse? How do you know?
[3 3
−1 −1]
No it will not have an inverse. You know because the determinant is zero.
400
Solve for y: [2 2y]+[1 0]=[3 7]
y=3.5
500
The dimensions of the following matrix:
What are 4 x 2?
or
What are 4 rows by 2 columns
500
Do the following, and determine a13 of result:
What is a13 = 20?
|-25 -30 20|
|-20 10 5 |
500
2C + A
What is
|7 -19|
|0 15|
500
The determinant of a singular matrix is 3x - 15. The value of x which satisifies this is?
3x-15 =0
3x=15
x = 5
500
The weekly sales for 2 weeks in February for 3 models of cell phones are represented below:
Week 1 Week2
5 Model A 6 Model A
7 Model B 3 Model B
4 Model C 1 Model C
Create a 3 x 2 matrix using the information
[ 5 6
7 3
4 1]