22 Nov, 18 tweets, 6 min read
π Matrix implementation in JavaScript

Let's learn through this π§΅

0οΈβ£ Introduction

Matrix is a 2-dimensional Array arrangement of numbers.

Example:
[[aββ, aββ, aββ],
[aββ, aββ, aββ],
[aββ, aββ, aββ]]
βͺ Element: Each item in the inner array is called an element of the matrix. Eg, aββ

βͺ Row: Each item in the main array is called a row. Eg, [aββ, aββ, aββ]

βͺ Column: A column is list of items at a specific index from each row in order. Eg, [aββ, aββ, aββ]
1οΈβ£ Dimension of a Matrix

Dimension of a Matrix is specified as the number of rows and number of columns in the matrix.
2οΈβ£ Square Matrix

A matrix is called as a "Square Matrix" only if its "number of rows" is equal to its "number of columns".
3οΈβ£ 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.
4οΈβ£ Upper Triangular Matrix

An "Upper Triangular Matrix" is a square matrix which has only Zeroes (0s) as elements "below" the diagonal elements.
5οΈβ£ Lower Triangular Matrix

An "Lower Triangular Matrix" is a square matrix which has only Zeroes (0s) as elements "above" the diagonal elements.
6οΈβ£ Identity/Unity Matrix

An "Identity Matrix" is a diagonal matrix with only 1s as its diagonal elements.
7οΈβ£ Zero Matrix

A "Zero Matrix" has only Zeroes (0s) as all its elements.
8οΈβ£ 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.
9οΈβ£ Scalar Multiplication

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

By "Matrix Addition", elements at a specific row and column from 2 matrices are added.
1οΈβ£1οΈβ£ Matrix Subtraction

By "Matrix Subtraction", elements at a specific row and column from one matrix is subtracted from the another.
1οΈβ£2οΈβ£ 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.
1οΈβ£3οΈβ£ 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:

βͺ Determinant of a Matrix
βͺ Inverse of a Matrix

Because of their complex algorithms which won't fit into an infographic, I omitted these two.
Are you interested in JavaScript contents? I am sharing a lot of materials in Infographics.

All organised in a βTwitter Momentβ, π

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# More from @swapnakpanda

23 Nov
π NPM Commands Cheat Sheet

Find reference to some of the most used NPM commands for Nodejs Development.

There are more commands than listed here. If you want to know about all those commands, NPM has a very nice documentation.

Find reference to all commands here π

https://docs[.]npmjs[.]com/cli/v6/commands
1οΈβ£ npm init
21 Nov
π MongoDB in a Nutshell

Let's explore MongoDB, but in a nutshell.

π
0οΈβ£ Introduction

MongoDB is a leading NoSQL document-based database.

Let's explore some basic terminologies. β
1οΈβ£ MongoDB Server

βͺ MongoDB Server is a server-side component which can host multiple databases.
21 Nov
DSA - Starter Kit π

β¨ Who should learn?
β¨ Why to learn?
β¨ How much is necessary?
β¨ Where to learn?

A comprehensive startup, oops "Starter Kit"

0οΈβ£ Let's Talk

βͺ What is DSA?
β DSA stands for "Data Structures and Algorithms"
β DSA is a subject of study and, practice mostly in "Programming Domain"
β Unlike popular belief, DSA is not one thing, rather 2 tightly coupled topics.
βͺ What is a Data Structure?
A data structure is a way of organising (or, collecting) the data so that it can be used efficiently and effectively.

βͺ What is an Algorithm?
An algorithm is a set of instructions for solving a problem or accomplishing a task.
20 Nov
JavaScript Arrays[] Interview Questions π

Before proceeding, do check the previous one of this series π

Disclaimer:

β’ The questions covered here are mostly conceptual
β’ I do not claim only these type of questions are/should be asked during interviews
β’ For interviews, you should have fundamentals strong. And you should be able to provide solutions to practical problems.
18 Nov
SQL Interview Questions (S3)

This is the 3rd one in this series. Check the 2nd one π

Disclaimer:

β’ The questions covered here are mostly conceptual
β’ I never claim only these type of questions are/should be asked during interviews
β’ For interviews, you should have fundamentals strong. And you should be able to provide solutions to practical problems.
14 Nov
π Books you must read for

β¨ DSA
β¨ SQL
β¨ JavaScript

Books were and still are the most important medium for our knowledge growth.

Do you love to read books? How about for technical subjects? If no, I would suggest you should.

Here, I will list few of my favourite ones. If you want to add any, feel free.
1οΈβ£ DSA

1οΈβ£ Grokking Algorithms