Matrices

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 =

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.