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Matrix Multiplication Theory : goo.gl/omPVAS
Watch till 7:12 mins
In this lecture we will learn:
- What are mutli-dimeansional arrays?
- Two-dimensional array in Python
- Attributes available with a two-dimensional array
- How to convert the dimensions of an array
- Matrix in Python
- How to convert an array into a matrix?
- Functions used with a matrix
#1
- If a list contains multiple elements of the same type, then it is known as an array.
- When an array contains another array inside it, then it is known as a two-dimensional array.
- Two- dimensional array can be defined as an array within another array.
- It is a collection of rows and columns.
Syntax of a two-dimensional array:-
arr= array([
[arr1],
[arr2]
])
#2
Attributes with two-dimensional arrays:-
- dtype attribute returns the data type of the data with which you are working.
- ndim attribute gives the number of dimensions of an array and also gives the rank to an array.
e.g, if it is a single-dimensional array then it will return 1 if three-dimensional array then it returns 3.
It will also give the rank whether it is 1-D, 2-D and many more.
- shape attribute returns the number of rows and the number of columns present inside an array.
- size attribute gives the size of the entire block.
- flatten attribute convert the 2-dimensional array into a single-dimensional array.
#3
- reshape attribute is used to change the dimensions of an array. We can convert a 1-D array to a 2-D array by using the reshape method.
- reshape(r,c) method takes two parameters ie., the number of rows and a number of columns, that you want in an updated array.
- reshape attribute also works with a 3-D array. In 3-D, we have multiple 2-D arrays. And a 2-D array contains multiple 1-D arrays.
#4
- Matrices can be defined as a two-dimensional array that has multiple rows and columns.
- A matrix that has one row and multiple columns is known as a row matrix.
- A matrix having one column and multiple rows is known as a column matrix.
- Both the row matrix and column matrix is in the form of a single-dimensional array.
- A separate format available for a matrix in python.
#5
Functions with matrix:-
- matix() attribute is used to convert an array into a matrix format.
- We can also create a matrix without using an array. It can also be created directly by using the matrix() attribute.
matrix('1 2 3 6 ; 4 5 6 7')
In this, values are separated by using the space, and rows are separated by using the semicolon.
- A diagonal () function can be used to only print the diagonal elements of an array.
- min() function will give the minimum value element from an array.
- max() function is used to get the maximum value element of an array.
- There is a certain number of rules that should be followed in matrix multiplication.
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