## A

edit- adjugate
- Also called
**classical adjoint**. The matrix adj*A*formed from a square matrix*A*by replacing the (*i, j*)-entry of*A*by the (*i, j*)-cofactor, for all*i*and*j*, and then transposing the resulting matrix. - affine transformation
- A mapping
of the form , with *A*anmatrix and b in . - algebraic multiplicity
- The multiplicity of an eigenvalue as a root of the characteristic equation.
- angle
- Between nonzero vectors
**u**and**v**inand . The angle between the two directed line segments from the origin to the points **u**and**v**. Related to the scalar product by

## B

edit## C

edit- coefficients
- A constant by which a variable are multiplied, fx.
are a coefficient in the following equation . - consistent linear system
- A linear system with at least one solution.

## D

edit## E

edit- equivalent linear systems
- Linear systems with the same solution set.
- echelon form
- Also called
**row echelon form**. An echelon matrix that is row equaivalent to the given matrix. - echelon matrix
- Also called
**row echelon matrix**. A rectangular matrix that has three properties: (1) All nonzero rows are above any row of all zeros. (2) Each leading entry of a row is in a column to the right of the leading entry of the row above it. (3) All entries in a column below a leading entry are zero.

## F

edit## G

edit## H

edit## I

edit- inconsistent linear system
- A linear system with no solution.

## K

edit## L

edit- linear equation
- An equation that can be written in the form
, where *b*and the coefficientsare real or complex numbers. - linear system
- A collection of one or more linear equations involving the same variables, fx.
.

## M

edit## N

edit## O

edit## P

edit## Q

edit## R

edit- reduced echelon form
- Also called
**reduced row echelon form**. A reduced echelon matrix that is row equivalent to a given matrix. - reduced echelon matrix
- A rectangular matrix in
**echelon form**that has these additional properties: The leading entry in each nonzero row is 1, and each leading 1 is the only nonzero entry in its column. - reduced row echelon form
- See
**reduced echelon form**. - row echelon form
- See
**echelon form**. - row echelon matrix
- See
**echelon matrix**.

## S

edit- solution
- A list
of numbers that makes each equation in system a true statement when the values are substituted for respectively. - solution set
- The set of all possible solutions of a linear system. The solution set is empty when the linear system is inconsistent.
- system of linear equations
- Also called a
**linear system**, is a collection of one or more linear equations involving the same set of variables, fx..