Matrices

Terms

Terms 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

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.