sparknotes
Matrices
Terms
Dimensions
-
The number of rows and the number of columns in a matrix. For example,
a
3×4
-dimensional matrix has 3 rows and 4 columns.
Elementary Row Operations
-
There are three elementary row operations:
- Multiplying a row by a constant.
- Switching two rows.
- Adding a constant times a row to another row.
Identity Matrix
-
The matrix
Which, when multiplied by any matrix, does not change the matrix. In other words, any matrix multiplied by I is equal to itself.
I = 
|
Which, when multiplied by any matrix, does not change the matrix. In other words, any matrix multiplied by I is equal to itself.
Matrix
-
A way of representing data in a rectangular array.
A = 
|
Reduced Row-Echelon Form
-
The form of a matrix in which the first
m×m
entries form the
identity matrix:
|
Row Reduction
-
The process through which a matrix is converted to reduced row-echelon
form, using elementary row operations.
Scalar
-
A single constant, variable, or expression.
Become a fan on Facebook
Follow us on Twitter
