# linspace

Generate linearly spaced vector

## Syntax

• ``y = linspace(x1,x2)``
example
• ``y = linspace(x1,x2,n)``
example

## Description

example

````y = linspace(x1,x2)` returns a row vector of 100 evenly spaced points between `x1` and `x2`.```

example

````y = linspace(x1,x2,n)` generates `n` points. The spacing between the points is `(x2-x1)/(n-1)`.`linspace` is similar to the colon operator, "`:`", but gives direct control over the number of points and always includes the endpoints. "`lin`" in the name "`linspace`" refers to generating linearly spaced values as opposed to the sibling function `logspace`, which generates logarithmically spaced values.```

## Examples

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### Vector of Evenly Spaced Numbers

Create a vector of 100 evenly spaced points in the interval `[-5,5]`.

`y = linspace(-5,5);`

### Vector with Specified Number of Values

Create a vector of 7 evenly spaced points in the interval `[-5,5]`.

`y1 = linspace(-5,5,7)`
```y1 = -5.0000 -3.3333 -1.6667 0 1.6667 3.3333 5.0000```

### Vector of Evenly Spaced Complex Numbers

Create a vector of complex numbers with 8 evenly spaced points between `1+2i` and `10+10i`.

`y = linspace(1+2i,10+10i,8)`
```y = Columns 1 through 5 1.0000 + 2.0000i 2.2857 + 3.1429i 3.5714 + 4.2857i 4.8571 + 5.4286i 6.1429 + 6.5714i Columns 6 through 8 7.4286 + 7.7143i 8.7143 + 8.8571i 10.0000 +10.0000i```

## Input Arguments

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### `x1,x2` — Point intervalpair of numeric scalars

Point interval, specified as a pair of numeric scalars. `x1` and `x2` define the interval over which `linspace` generates points. `x1` and `x2` can be real or complex, and `x2` can be either larger or smaller than `x1`. If `x2` is smaller than `x1`, then the vector contains descending values.

Data Types: `single` | `double` | `datetime` | `duration`
Complex Number Support: Yes

### `n` — Number of points100 (default) | real numeric scalar

Number of points, specified as a real numeric scalar.

• If `n` is `1`, `linspace` returns `x2`.

• If `n` is zero or negative, `linspace` returns an empty 1-by-0 matrix.

• If `n` is not an integer, `linspace` rounds down and returns `floor(n)` points.