Python matrix multiplication with variables
I know about the ability of python to do matrix multiplications. Unfortunately I don't know how to do this abstractly? So not with definite numbers but with variables. Show Example:
Is there some way to define a,c and d, so that the matrix multiplication gives me
?
Bill Bell 20.4k5 gold badges42 silver badges57 bronze badges asked Oct 20, 2017 at 12:33
1 Using sympy you can do this:
answered Oct 20, 2017 at 15:05
Bill BellBill Bell 20.4k5 gold badges42 silver badges57 bronze badges Just like any variable, an array/matrix can only be initialized with specific values. The only thing you can do is make functions to make initialization easier
(where the answered Oct 20, 2017 at 12:44
blue_noteblue_note 26k6 gold badges60 silver badges82 bronze badges 2 In Python, we can implement a matrix as nested list (list inside a list). We can treat each element as a row of the matrix. For example The first row can be selected as Multiplication of two matrices X and Y is defined only if the number of columns in X is equal to the number of rows Y. If
X is a Source Code: Matrix Multiplication using Nested Loop
Output [114, 160, 60, 27] [74, 97, 73, 14] [119, 157, 112, 23] In this program, we have used nested This technique is simple but computationally expensive as we increase the order of the matrix. For larger matrix operations we recommend optimized software packages like NumPy which is several (in the order of 1000) times faster than the above code. Source Code: Matrix Multiplication Using Nested List Comprehension
The output of this program is the same as above. To understand the
above code we must first know about built-in function We have used nested list comprehension to iterate through each element in the matrix. The code looks complicated and unreadable at first. But once you get the hang of list comprehensions, you will probably not go back to nested loops. How do you do matrix multiplication in Python?@ Python's Matrix Multiplication Operator. A = np. matrix('3 1; 8 2') A. ... . B = np. matrix('6 1; 7 9') B. ... . A @ B. matrix([[25, 12], [62, 26]]). # element at the top left. ... . # element at the top right. ... . # element at the bottom left. ... . # element at the top right. ... . A @ B == result.. How do you multiply a 3X3 matrix in Python?Multiplication can be done using nested loops. Following program has two matrices x and y each with 3 rows and 3 columns. The resultant z matrix will also have 3X3 structure. Element of each row of first matrix is multiplied by corresponding element in column of second matrix.
How do you multiply a variable in Python?In python, to multiply number, we will use the asterisk character ” * ” to multiply number. After writing the above code (how to multiply numbers in Python), Ones you will print “ number ” then the output will appear as a “ The product is: 60 ”.
How do you multiply a 2d matrix in Python?Step1: input two matrix. Step 2: nested for loops to iterate through each row and each column. Step 3: take one resultant matrix which is initially contains all 0. Then we multiply each row elements of first matrix with each elements of second matrix, then add all multiplied value.
|