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vectors_arrays_matrices

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# Vectors_Arrays_Matrices ✨
<img src = "https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Poster.png" width="1000">

Programming is a great way to get insights about math concepts. You’ll see here tips and tricks to learn math, more specifically linear algebra, from a coding perspective. You’ll see the relationship between Numpy functions and linear algebra abstract concepts.

At the end of this mini-tutorial, you’ll know what are arrays ,vectors & matrices, and why they are the core of machine learning and data science.. so lets gets started

## What you will learn
✅Array are Homogeneous Data Structure<br>
✅Multiple equal length vector stacked as table<br>
✅Wide range of collection operations<br>
✅Data tranformation and its properties.<br>
✅Lots of hands stuff and more...

## Libraries required 
Use the package manager [pip](https://pip.pypa.io/en/stable/) to install below

```bash
pip install numpy
```

## Array:
- *Arrays are the most important family of higher-order collections in machine learning. They are used to represent images, text documents and many other types of data.*

|No |Topics |Code Link 🔗|
|---|-------|--------|
|1|Elements in Array|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Arrays/elem_array.ipynb)|
|2|Properties of Array|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Arrays/prop_array.ipynb)|
|3|Reshape an Array|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Arrays/reshape_array.ipynb)|
|4|Array Operations|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Arrays/array_ops.ipynb)|

## Vectors
- *A vector is a tuple of one or more values called scalars. Vectors are built from components, which are ordinary numbers. You can think of a vector as a list of numbers, and vector algebra as operations performed on the numbers in the list.*

|No |Topics |Code Link 🔗|
|---|-------|--------|
|1|Create Vector|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Vectors/create_vector.ipynb)|
|2|Diagonal Sum|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Vectors/diagonal_sum.ipynb)|
|3|Dot Vector Product|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Vectors/dot_vec_prod.ipynb)|
|4|Vector & Matrix Transpose|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Vectors/vec_mat_trans.ipynb)|
|5|Vector Operations|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Vectors/vect_ops.ipynb)|
|6|Average Variance Standard Deviation|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Vectors/avg_var_std.ipynb)|

## Matrices
- *Matrices are rectangular arrays consisting of numbers and can be seen as 2nd-order tensors. If m and n are positive integers, that is m, n ∈ ℕ then the m×n matrix contains m*n numbers of elements, with m number of rows and n number of columns.*

|No |Topics |Code Link 🔗|
|---|-------|--------|
|1|Sum Matrices|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/add_sum_mat.ipynb)|
|2|Diagonal of Matrix|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/diag_mat.ipynb)|
|3|Dictionary to Matrix|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/dict_to_mat.ipynb)|
|4|Opertions on Elements|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/element_ops.ipynb)|
|5|Flatten a Matrix|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/flat_a_mat.ipynb)|
|6|Invert a Matrix|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/invert_mat.ipynb)|
|7|Matrix Determinant|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/mat_det.ipynb)|
|8|Min Max of Matrix|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/max_min_mat.ipynb)|
|9|Matrix Rank|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/rank_mat.ipynb)|
|10|Sparse of Matrix|[Code](https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/Matrices/sparse_matrix.ipynb)|

# Illustration
<img src = "https://github.com/rojaAchary/vectors_arrays_matrices/blob/main/sample_representation.png" width="1000">

## Want to Stay Updated !!
Fork 🍴 the repository 
 
## Learned Something  !!
Give a 🌟 to support me 😊

```bibtex
@misc{Charged Neuron,
    author       = {Roja Achary},
    title        = {Vectors, Arrays, Matrices},
    Credits      = {websites,CA,me}
    month        = {November},
    year         = {2021}
}
```

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