Properties
Scalar and Elements
Adding Matrices
Multiplying Matrices
Matrix mysteries
100
What is the term used to refer to the number of rows and columns in a matrix
Dimensions of a Matrix
100
Identify element a23 from A =
What is a23 = 2
100
Can a 2x3 matrix be added to a 3x2 matrix?
No, the dimensions must be the same.
100
A = { 1 2 }
{ 5 7}
B= { -2 -8 }
{ 3 0 }
Find A * B
what is
{ 4 -8 }
{ 11 -40 }?
100
Are Matrices Communitive?
Is A*B = B*A
No they are not
200
The dimensions of the following matrix:
What are 4 x 2?
or
What are 4 rows by 2 columns
200
Do the following, and determine a13 of result:
What is a13 = 20?
|-25 -30 20|
|-20 10 5 |
200
2C + A
What is
|7 -19|
|0 15|
200
The conditions does two matrices need for multiplication.
What is the Columns of the first matrix needs to equal to the amount of Rows in the second matrix?
200
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]
300
A matrix with m rows and n columns is described to these dimensions.
What is 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 = { 0 5 }
{ -3 1 }
{ -5 1 }
B= { -4 4 }
{ -2 -4}
A*B =
What is
[ -10 -20]
[ 10 -16]
[18 -24]
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
A = { 0 5 }
{ -3 1 }
{ -5 1 }
B= { -4 4 }
{ -2 -4}
B*A =
What is Undefined?
400
Solve for y: [2 2y]+[1 0]=[3 7]
y=3.5
500
The ________________ matrix is a square matrix with ones on the diagonal and zeros everywhere else. When mutliplied by a matrix, the result is the original matrix.
What is Identity
500
These are the numbers inside of a matrix.
Elements
500
[ 4 12 ] - X = [5 50]
[75 -1] [50 -10]
Find X
ans =
-1 -38
25 9
500
Let A =
[ -1 1 -1 ]
[ 5 2 -5 ]
[ 6 -5 1 ]
[ -5 6 0 ]
B =
[6 5]
[5 -6]
[6 0]
ans =
-7 -11
10 13
17 60
0 -61
500
When giving the dimension of a matrix we read these first, and these second.
Rows first and columns second