The term used to refer to the number of rows and columns in a matrix.
Order of a matrix
or
Dimension of a Matrix
Identify element a23 from A =
What is a23 = 2
To add two matrices together, they have to have ?
What is the same order or dimension?
The difference of the products of elements on the leading and non-leading diagonals
What is the determinant?
This is required in order to multiplying matrices.
The number of columns of the first matrix must equal the number of rows of the 2nd matrix.
The shape of a matrix is generally ______________
Rectangular or square
Dimensions
4 X 2
Find the determinant if possible.
1 0 -1
5 -2 0
1 6 2
d = -36
Find the determinant if possible.
[1 0 -1
5 -2 0
1 6 2]
-36
This has a single column of elements.
What is a column matrix?
How an m rows and n columns matrix is described
What is an m x n matrix
Do the following, and determine a13 of result:
20
Determine the inverse of
3 -4
5 -6
1/2 -6 4
-5 6
Does not have an inverse.
What is a matrix with a determinant that is 0?
This contains only zeros
What is a zero matrix?
This matrix has the same number of rows as columns.
What is a square matrix?
Do the following scalar multiplication and determine all elements of the result:
What is 4*(-4) 4*(3) 4*(-5)?
| -16 |
| 12 |
| -20 |
Simplify
This matrix produces a determinant of 2
Provide a matrix that produces a determinant of 2.
Each element in a matrix is multiplied by a value.
What is scalar multiplication.
The dimensions of the following matrix:
What are 4 x 2?
or
What are 4 rows by 2 columns
In the answer, what is a13
What is a13 = 20?
|-25 -30 20|
|-20 10 5 |
2C + A
What is
|7 -19|
|0 15|
The determinant = 0
provide a matrix where the determinant = 0
Matrices that have the same numbers in the same positions and have the same order.
What are equal matrices?