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Deep learning programming uses the power of mathematics and programming to give you result. You need to know both mathematics and programming in any language. We have also covered basic programming needed for deep learning. You can find on our websites.

This is mathematical term used to express distance in physics with direction. Means it is a variable having its scalar quantity and its direction. Lets say in physics velocity is a vector because it contains direction in which vehicle is moving and speed through which it is moving.

Consider above expression as a bunch of vector in which each number is considered it as vectors. In deep learning vector are some times called as tensor array, so don't confuse by these words. If you find it somewhere you can express such bunch of numbers in numpy array in python. Just open below link for seeing vector in numpy array in google colab.

import numpy as np

a=np.array([5,6,7,8])

print (a)

Mean generally is an average of numbers. It is number which represent full sets of numbers. In India we use percentage system to quantify students performance exam. Let say student got 60 Marks in Maths, 70 Marks in English and 80 marks in Hindi. so ttake average for this we need to add all subject marks and divide it with total numbers of subjects. Let say we have (70+60+80)/'3 = 70. Student got 70 Marks on an average.

We take an average for this which will be

**Average = ( 5+6+7+8 ) / 4**

**Average 6.5**

In PYTHON we write like this .Just open below link for seeing vector in numpy array in google colab.

import numpy as np

a = np.mean ([5,6,7,8])

mean = np.mean (a)

print(mean)

It is technique to find out in which range from mean maximum item exists. It is number calculated from mean. Lets consider we have five dogs with heights [ 5,6,7,8,9]. To find standard deviation first we have find out mean from this number which will be

mean = (95+6+7+8+9) /5

mean = 7

mean height = 7

Then we have to find how much dog heights is away from average dog heights

**dog 1 = 7 - 5 = 2**

**dog 2 = 7 - 6 = 1**

**dog 3 = 7 - 7 = 0**

**dog 4 = 8 - 7 = 1**

**dog 5 = 9 - 7 =2**

Then we add all dogs distance from mean and divide by total number of dogs.

**Standard deviation = 2+1+0+1+2 / 5**

**SD = 1.2**

A Matrices is a bunch of number written in row and column fashion to represent certain quantities which are independent. Matrices can be written as -

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