Properties
Scalar and Elements
Operation on matrices
Determinant
Problem solving/systems
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
The difference of the products of elements on the leading and non-leading diagonals
What is the determinant?
100
When multiplying matrices, what is required regarding the dimensions of the 1st and 2nd matrix?
The number of columns of the first matrix must equal the number of rows of the 2nd 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
Solve using matrices.
-2x + 3y = 8
9x - 3y = -15
(-1,2)
x=-1
y=2
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
Solve using a matrix.
x + y = 11
3x - y = 5
(4, 7)
x=4
y=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
With a non-zero value this matrix must be invertible. this means it's a ____________ matrix!
What is non-singular?
400
Solve using a matrix.
x + y + z = 4
x - 2y - z = 1
2x - y - 2z = -1
(2, -1, 3)
x=2
y=-1
x=3
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
Solve using matrices.
2x + y + 3z = 23650
x + 3y + 2z = 20450
3x + 2 y + z = 24600
(5200, 2750, 3500)
x=5200
y=2750
z=3500