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
These are the numbers inside of a matrix.
What are elements?
The operations that can be performed on matrices.
What are
Addition of Matrices
Subtraction of Matrices
Multiplication of Matrices
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
When multiplying the following matrices(A & B), what is the product at c32?
What is c32 = 1*3 + 6*4 = 27
Simplify the following
5[1 3 5]=
5[1 3 5] = 5 x1 3x5 5x5
=[5 15 25]
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 the following matrices based problem:
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
Do the following, and determine a13 of result:
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?