¿Cuál es el término utilizado para referirse al número de filas y columnas de una matriz?
Orden de una matriz
o
Dimensión de una matriz
Identify element a23 from A =
What is a23 = 2
To add two matrices together, they have to have ?
The same dimension.
The difference of the products of elements on the leading and non-leading diagonals
What is the determinant?
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.
The shape of a matrix is generally ______________
Rectangular
These are the numbers inside of a matrix.
Elements or members
What are the operation that can be performed on matrices?
Addition of Matrices
Subtraction of Matrices
Multiplication of Matrices
Find the determinant if possible.
[1 0 -1
5 -2 0
1 6 2]
-36
Solve using matrices.
-2x + 3y = 8
9x - 3y = -15
(-1,2)
x=-1
y=2
A matrix with m rows and n columns is described as
A m x n matrix
When multiplying the following matrices(A & B), what is the output 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]
A matrix with a value of zero says it must be a __________ matrix
What is singular?
Solve using a matrix.
x + y = 11
3x - y = 5
(4, 7)
x=4
y=7
This matrix has the same number of rows as columns.
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:
With a non-zero value this matrix must be invertible. this means it's a ____________ matrix!
What is non-singular?
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
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 of a singular matrix is 3x - 15. The value of x which satisifies this is?
3x-15 =0
3x=15
x = 5
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