taher

Matrix multiplication is an operation which is used in matrices. It is used to multiply two matrices. Since matrices are not just one number it is a bunch of numbers that why it follows certain rule to multiply. Lets understand through an example. Let say we have two matrices a and b and we want to multipy it.

a= [1 2]

[4 3]

b= [6 1]

[2 3]

To multipy two matrices. Shape of two matrices follow below rules

**1) **First matrices column should be equal to second matrices row. Here in above example it is same. As 2 column are there in first matrices and 2 rows are there in second matrices.

**Rows = Horizontal number in one line are called Rows**

**Column = Vertical number in one lines are called column**

**2)** **Multiplication Method :- **First take first rows of matrices A and multipy and sum B first column which gives first row and first column element of resultant matrices

As the name suggest it is to calculate difference between two values of dependent variable with respect to independent variable . Let say you want to calculate differentiation of distance with respect to time. Let say you are going from New York to New Jersey and that took you 10 hours to reach there because let say it is 500 Km away and if you want to go somewhere else which 600 km than it would have take you on average 12 hours which shows that time is directly proportional to distance with some constant a

**t=a x d where a is constant and d is distance**

Where **t** is time and **a is constant **and** d **is distance. If you want to calculate in how much will be lapsed if you covered a very small distance than new time will be **t**_{1 }and new distance is **d**_{1 }then there difference will give you **t**_{3 }small time which is elapsed.

**t**_{3}** = t-t**_{1}

**t**_{3}** = ad-ad**_{1}

**t**_{3}** = a(d-d**_{1}**)**

Differentiation actually calculate the tangent of any function .Tangent can be positive or negative it is difference between independent variable by dependent variable. Let say you have function.

**y = x**^{2}**+b**

which graph as

In this post we have discussed matrix multiplication and differentiation in some details which required in deep learning. If you want to go deeper than this you can find on **mathsisfun com**. It is really cool website to learn maths.

We are Saify technologies a software development company located in india . Who develops custom Web , Mobile applications. We are specialized in Artificial intelligence technology. We have completed many projects on ecommerce with many different technology stacks which includes JAVA, Flutter , PHP, Python , C#,Swift and many more