# Exercises: 1-20
```elixir
Mix.install([{:nx, "~> 0.6"}])
```
## Introduction
Inspired by the Python notebook [100 Numpy Exercises](https://www.kaggle.com/code/utsav15/100-numpy-exercises/notebook).
## 1-10
**1. Install `Nx` in a Livebook. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Mix.install([{:nx, "~> 0.6"}])
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**2. Create a 1-D tensor of 10 zeros. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.broadcast(0, {10})
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**3. Find the number of elements in `tensor`. (★☆☆)**
```elixir
tensor = Nx.tensor([[1, 2, 3], [4, 5, 6]])
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.size(tensor)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**4. Find the number of bytes of memory in `tensor`. (★☆☆)**
```elixir
tensor = Nx.tensor([[1, 2, 3], [4, 5, 6]])
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.byte_size(tensor)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**5a. Use `Nx.sum/2` to find the sum of all elements of `tensor`. (★☆☆)**
```elixir
tensor = Nx.tensor([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.sum(tensor)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**5b. Read the [documentation for `Nx.sum/2`](https://hexdocs.pm/nx/Nx.html#sum/2) then provide the correct option to sum across the _rows_. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.sum(tensor, axes: [1])
```
<div style="padding-top: 16px">
<i>Tip:</i> You can also hover over a function inside Livebook code cells to display its documentation.
</div>
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**6. Create a tensor of zeros of size 10 but where the fifth value is 1. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
zeros = Nx.broadcast(0, {10})
index = Nx.tensor([4])
Nx.indexed_put(zeros, index, 1)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**7. Create a 3x3 tensor with values ranging from 0 to 8. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.iota({3, 3})
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**8. Create a tensor with values ranging from 10 to 49. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution 1</summary>
<div style="padding-top: 8px">
```elixir
Nx.iota({40})
|> Nx.add(10)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution 2</summary>
<div style="padding-top: 8px">
```elixir
Nx.linspace(10, 49, n: 39, type: :s64)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**9. Reverse `tensor` (first element becomes last). (★☆☆)**
```elixir
tensor = Nx.tensor([2, 4, 6, 8])
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.reverse(tensor)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**10a. Given an initial `tensor`, build a "mask" of non-zero elements. That is, build a second tensor with the same shape as the original, but that has a 1 wherever the original has a non-zero element and a 0 elsewhere. (★☆☆)**
```elixir
tensor = Nx.tensor([1, 2, 0, 0, 4, 0])
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
mask = Nx.not_equal(tensor, 0)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**10b. Use the mask from 10a to replace each 0 from `tensor` with -1. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.select(mask, tensor, -1)
```
</div>
</details>
## 11-20
**11. Create a 3x3 identity tensor. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.eye(3)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**12. Create a 3x3x3 tensor with random values. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
key = Nx.Random.key(0)
{random, _} = Nx.Random.normal(key, shape: {3, 3, 3})
random
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**13. Create a random 10x10 tensor then find its minimum and maximum values. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
key = Nx.Random.key(0)
{tensor, _} = Nx.Random.normal(key, shape: {10, 10})
%{
min: Nx.reduce_min(tensor),
max: Nx.reduce_max(tensor)
}
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**14. Create a random 1D tensor of size 30 then find its mean. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
key = Nx.Random.key(0)
{tensor, _} = Nx.Random.normal(key, shape: {30})
Nx.mean(tensor)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**15. Create a 4x4 tensor with 1 on the border and 0 inside. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.broadcast(1, {4, 4})
|> Nx.put_slice([1, 1], Nx.broadcast(0, {2, 2}))
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**16. Add a border of 0 around `tensor` (end result will be a 5x5 tensor). (★☆☆)**
```elixir
tensor = Nx.broadcast(1, {3, 3})
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.pad(tensor, 0, [{1, 1, 0}, {1, 1, 0}])
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**17. Determine the results of the following expressions. (★☆☆)**
```elixir
nan = Nx.Constants.nan()
Nx.multiply(0, nan)
Nx.equal(nan, nan)
Nx.greater(nan, nan)
Nx.subtract(nan, nan)
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```
#Nx.Tensor<
f32
NaN
>
#Nx.Tensor<
u8
0
>
#Nx.Tensor<
u8
0
>
#Nx.Tensor<
f32
NaN
>
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**18. Create a 5x5 tensor with values 1,2,3,4 just below the diagonal. (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.tensor([1, 2, 3, 4])
|> Nx.make_diagonal(offset: -1)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**19. Create a 8x8 tensor of 0 and 1 in a checkerboard pattern with 0 as the first element using [`Nx.tile`](https://hexdocs.pm/nx/Nx.html#tile/2). (★☆☆)**
```elixir
# Add your solution here.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution</summary>
<div style="padding-top: 8px">
```elixir
Nx.tensor([[0, 1], [1, 0]])
|> Nx.tile([4, 4])
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
**20. Produce the same checkerboard pattern from exercise 19, but _without_ using `Nx.tile`. (★☆☆)**
```elixir
# Add your solution here.
# Hint: try using `Nx.iota` in combination with `Nx.remainder`.
```
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution 1</summary>
<div style="padding-top: 8px">
```elixir
t = Nx.iota({8, 1})
Nx.transpose(t)
|> Nx.add(t)
|> Nx.remainder(2)
```
</div>
</details>
<!-- livebook:{"break_markdown":true} -->
<details style="margin-left: 32px">
<summary style="cursor: pointer; font-weight: bold;">Example solution 2</summary>
<div style="padding-top: 8px">
```elixir
Nx.iota({9, 9})
|> Nx.remainder(2)
|> Nx.slice([0, 0], [8, 8])
```
</div>
</details>
