Swapna Kumar Panda Profile picture
Oct 21, 2021 β€’ 19 tweets β€’ 6 min read β€’ Read on X
πŸ”₯ MATRIX Operations implemented in JavaScript πŸš€

Welcoming you to this super exciting 🧡 where we will implement various matrix operations in JavaScript along with their Complexity Analysis (both Time and Space).

Are you excited to know? πŸ‘‡
We will cover πŸ‘‡

πŸ”Ή Dimension
πŸ”Ή Square Matrix
πŸ”Ή Diagonal Matrix
πŸ”Ή Upper Triangular
πŸ”Ή Lower Triangular
πŸ”Ή Identity Matrix
πŸ”Ή Zero Matrix
πŸ”Ή Transpose Matrix
πŸ”Ή Scalar Multiplication
πŸ”Ή Matrix Addition
πŸ”Ή Matrix Subtraction
πŸ”Ή Matrix Multiplication
πŸ”Ή Orthogonal Matrix

↓
0️⃣ Introduction

Matrix is a 2-dimensional (array) arrangement of numbers and it has vast use in Linear Algebra.

Example:
[[a₁₁, a₁₂, a₁₃],
[a₂₁, aβ‚‚β‚‚, a₂₃],
[a₃₁, a₃₂, a₃₃]]

Each element in the inner array is called an element of the matrix. Eg, a₁₁

++
Each element in the main array is called a row. Eg, [a₁₁, a₁₂, a₁₃]

A column is formed by taking elements at a specific index from each row in order. Eg, [a₁₁, a₂₁, a₃₁]

↓
1️⃣ Dimension of a Matrix

Dimension of a Matrix is specified as the number of rows and number of columns in the matrix.

Example:
[[a₁₁, a₁₂],
[a₂₁, aβ‚‚β‚‚],
[a₃₁, a₃₂]]

Dimension is 3x2

↓
2️⃣ Square Matrix

A matrix is called as a "Square Matrix" only if its "number of rows" is equal to its "number of columns".

Example:
[[a₁₁, a₁₂, a₁₃],
[a₂₁, aβ‚‚β‚‚, a₂₃],
[a₃₁, a₃₂, a₃₃]]

Here, number of rows is 3 and number of columns is also 3.

↓
3️⃣ Diagonal Matrix

A "Diagonal Matrix" is a square matrix which has only Zeroes (0s) as its non-diagonal elements (row index = column index).

Diagonal elements can be both Non-Zero and Zero.

Example:
[[5, 0, 0],
[0, 2, 0],
[0, 0, -3]]

↓
4️⃣ Upper Triangular Matrix

An "Upper Triangular Matrix" is a square matrix which has only Zeroes (0s) as elements "below" the diagonal elements.

Example:
[[5, 6, 7],
[0, 2, 3],
[0, 0, -3]]

↓
5️⃣ Lower Triangular Matrix

An "Lower Triangular Matrix" is a square matrix which has only Zeroes (0s) as elements "above" the diagonal elements.

Example:
[[5, 0, 0],
[1, 2, 0],
[4, 7, -3]]

↓
6️⃣ Identity/Unity Matrix

An "Identity Matrix" is a diagonal matrix with only 1s as its diagonal elements.

Example:
[[1, 0, 0],
[0, 1, 0],
[0, 0, 1]]

↓
7️⃣ Zero Matrix

A "Zero Matrix" has only Zeroes (0s) as all its elements.

Example:
[[0, 0, 0],
[0, 0, 0],
[0, 0, 0]]

↓
8️⃣ Transpose Matrix

A "Transpose Matrix" is formed by converting rows of a matrix into columns (and thus columns into rows).

Dimension of a transpose matrix is exactly opposite of the dimension of the original matrix.

↓
9️⃣ Scalar Multiplication

By doing "Scalar Multiplication", each element of the matrix is multiplied by a scalar value.

↓
1️⃣0️⃣ Matrix Addition

By "Matrix Addition", elements at a specific row and column from 2 matrices are added.

↓
1️⃣1️⃣ Matrix Subtraction

By "Matrix Subtraction", elements at a specific row and column from one matrix is subtracted from the another.

↓
1️⃣2️⃣ Matrix Multiplication

By "Matrix Multiplication", elements of a row from the first matrix is first multiplied with elements of a column from the second matrix and then summation is taken.

↓
1️⃣3️⃣ Orthogonal Matrix

A matrix is known as "Orthogonal" when multiplied with its transpose results into an Identity Matrix.

In other words, if transpose of a matrix is equivalent to its inverse, the matrix is orthogonal.

↓
OMISSIONS:

Inverse and, Determinant of a Matrix are omitted because of time constraints.

But, by now you must be familiar with matrix operations. Can you implement these 2 on your own? If you do, share that here in the reply.
We reached to the end of this 🧡. I hope you enjoyed implementing all these matrix operations in JavaScript.

If you haven't followed yet, do follow me for receiving such informative threads in future.

Share your feedbacks. Support me by giving a Like and RT.

See you soon,πŸ‘‹

β€’ β€’ β€’

Missing some Tweet in this thread? You can try to force a refresh
γ€€

Keep Current with Swapna Kumar Panda

Swapna Kumar Panda Profile picture

Stay in touch and get notified when new unrolls are available from this author!

Read all threads

This Thread may be Removed Anytime!

PDF

Twitter may remove this content at anytime! Save it as PDF for later use!

Try unrolling a thread yourself!

how to unroll video
  1. Follow @ThreadReaderApp to mention us!

  2. From a Twitter thread mention us with a keyword "unroll"
@threadreaderapp unroll

Practice here first or read more on our help page!

More from @swapnakpanda

Jul 1
πŸ‘©β€πŸ’» Practice these 150+ Algorithms in

❍ C/C++
❍ Java
❍ Python
❍ JavaScript
Or, any language of your choice

Stay in top 5% of programmers.
➊ Arrays

βž€ Creating an Array
➁ Iterate through Array
βž‚ Get an Element
βžƒ Search an Element
βž„ Insert Element(s)
βž… Delete Element(s)
βž† Filter an Array
βž‡ Fetch a Sub-Array
➈ Merging Arrays
βž‰ Reverse Array
βž€βž€ Rotate Array
βž‹ Linked Lists

βž€ Creating a Linked List
➁ Iterate through Linked List
βž‚ Get an Element
βžƒ Find an Element

➀ Insert Element(s)
βž„ At Start
βž… At End
βž† At Anywhere

➀ Delete Element(s)
βž‡ From Start
➈ From End
βž‰ From Anywhere

βž€βž€ IsEmpty
βž€βž Merging Linked Lists
βž€βž‚ Reverse Linked List
βž€βžƒ Check for Cycles

Implement these algorithms for linked lists, double linked lists, circular linked lists, etc.
Read 19 tweets
Jun 27
FREE FREE FREE

11 Python Books, Absolutely FREEImage
Image
Image
Image
1. Machine Learning with Python

πŸŽ„ python-course.eu/books/bernd_kl…Image
Image
2. Data Structures & Algorithms using Python

This book of 222 pages implements all types of data structures and algorithms.

πŸŽ„ donsheehy.github.io/datastructures…Image
Image
Read 12 tweets
Jun 23
Top 60+ YouTube Courses to learn

- Python
- Java
- C/C++
- JavaScript
- C#
- PHP
- SQL
- RustImage
Image
Image
Image
2. JavaScript

❯ JavaScript
youtube.com/playlist?list=…

❯ JavaScript
youtube.com/playlist?list=…

❯ Node.js
youtube.com/playlist?list=…

❯ Express
youtube.com/playlist?list=…

❯ TypeScript
youtube.com/playlist?list=…

❯ React
youtube.com/watch?v=x4rFhT…

❯ React
youtube.com/playlist?list=…

❯ Next.js 15
youtube.com/playlist?list=…

❯ Next.js 15 & React 19 Projects
youtube.com/playlist?list=…

❯ React Native
youtube.com/playlist?list=…Image
Read 11 tweets
Jun 20
MIT's FREE AI & ML Courses

❯ 6.036 - Machine Learning
❯ 6.S191 - Deep Learning
❯ 6.034 - Artificial Intelligence
❯ 18.05 - Probability and Statistics
❯ 18.06 - Linear Algebra
❯ 18.S096 - Matrix Calculus

All course links inside:
1. 6.036 - Machine Learning

❯ Course Link
openlearninglibrary.mit.edu/courses/course…

❯ YouTube Playlist
youtube.com/playlist?list=…Image
Image
2. 6.S191 - Deep Learning

❯ Course Link
introtodeeplearning.com

❯ YouTube Playlist
youtube.com/playlist?list=…Image
Image
Read 8 tweets
Jun 19
Save these 100+ Sites FOREVER!!!

Open the thread for all the links: Image
1. Python, AI & ML, Data Science

❯ Python ➟ realpython.com
❯ Python ➟ fullstackpython.com
❯ Python ➟ planetpython.org

❯ Django ➟ learndjango.com

❯ Flask ➟ blog.miguelgrinberg.com/post/the-flask…

❯ FastAPI ➟ fastapi.tiangolo.com/learn/

❯ Machine Learning ➟ developers.google.com/machine-learni…

❯ Machine Learning ➟ tensorflow.org/resources/lear…

❯ Tensorflow ➟ tensorflow.org/learn

❯ Data Science ➟ towardsdatascience.com
2. SQL and NoSQL

❯ SQL ➟ sqlbolt.com
❯ SQL ➟ sqlzap.com
❯ SQL ➟ sqltutorial.org
❯ SQL ➟ mode.com/sql-tutorial
❯ MySQL ➟ mysqltutorial.org
❯ PostgreSQL ➟ postgresqltutorial.com
❯ SQL Server ➟ sqlservertutorial.org
❯ Oracle ➟ oracletutorial.com
❯ MongoDB ➟ mongodbtutorial.org
❯ Redis ➟ university.redis.io/academy
❯ Kafka ➟ confluent.io/lp/apache-kafk…
Read 14 tweets
Jun 18
I am a JavaScript Developer since 2005.

If I plan to learn it in 2025, I will do this:
➊ Fundamentals

Effort: 1 to 2 hours per day
Time: 2 weeks

βž€ JavaScript Engine
➁ JavaScript Runtime
βž‚ Execution Context
βžƒ Hoisting
βž„ Call Stack
βž… Event Loop
βž† Callback Queue
βž‹ Variables and, Datatypes

Effort: 1 to 2 hours per day
Time: 2 weeks

βž€ Datatypes
❯ Primitives
❯ Literals
❯ Numeric
❯ Boolean
❯ String

➁ Variable
❯ Naming
❯ Declaration (var, let, const)
❯ Assignment

✧ Special Topic
❯ Type Coercion
❯ undefined, null, NaNImage
Read 17 tweets

Did Thread Reader help you today?

Support us! We are indie developers!


This site is made by just two indie developers on a laptop doing marketing, support and development! Read more about the story.

Become a Premium Member ($3/month or $30/year) and get exclusive features!

Become Premium

Don't want to be a Premium member but still want to support us?

Make a small donation by buying us coffee ($5) or help with server cost ($10)

Donate via Paypal

Or Donate anonymously using crypto!

Ethereum

0xfe58350B80634f60Fa6Dc149a72b4DFbc17D341E copy

Bitcoin

3ATGMxNzCUFzxpMCHL5sWSt4DVtS8UqXpi copy

Thank you for your support!

Follow Us!

:(