# Definition of constant vector of a linear system

Put content here**Definition: Constant Vector**
⏎
The constant vector of a linear system is the `m × 1` column vector containing the right-hand side values (the constants) from each equation.
⏎
For the system `Ax = b`, the constant vector `b` is:
```
b = [b₁]
    [b₂]
    [...]
    [bₘ]
```
⏎
**Example:** For the system:
```
2x + y - z = 8
-3x - y + 2z = -11
-2x + y + 2z = -3
```
⏎
The constant vector is:
```
b = [ 8]
    [-11]
    [ -3]
```
⏎
The constant vector determines whether the system is homogeneous (`b = 0`) or non-homogeneous (`b ≠ 0`).

# Parents

* Terminology