Adding three matrices

Adding three matrices

In python, it’s very easy to deal with matrices due to its simple syntax and we create matrices using nested lists in python.

We simply create matrices by creating lists inside lists as follows

matrix = [[1, 2, 3],
         [4, 5, 6],
         [7, 8, 9]]

As you can see we created lists inside a list and it seems to be the same as we saw in normal mathematics.

So, now let’s take three matrices and we will add them using a simple python program

X = [[1, 2, 3],
     [4, 5, 6],
     [7, 8, 9]]

Y = [[9, 8, 7],
     [6, 5, 4],
     [3, 2, 1]]

Z = [[5, 5, 5],
     [5, 5, 5],
     [5, 5, 5]]

To store the result we will use another matrix whose elements will be initialized with 0

result = [[0, 0, 0],
          [0, 0, 0],
          [0, 0, 0]]

Logic


Now let’s take a look at the logic to add the matrices which is
common to add any number of matrices

# iterate through rows
for i in range(len(X)):
    # iterate through columns
    for j in range(len(X[0])):
        result[i][j] = X[i][j] + Y[i][j] + Z[i][j]
To print the result
for r in result:
    print(r)


So, the logic is to add the elements of different matrices which are having the same position in different matrices, for example, the elements in X, Y, Z in the first row and first column are 1, 9, 5 so these elements will be first added and will be stored at the same place inside the result matrix

Hence, the elements which we want to add should be having the same row and column in different matrices and result will be stored at the place which has the same row and same column


Code


# Program to add three matrices using nested loop
# defining matrices using list
X = [[1, 2, 3],
    [4, 5, 6],
    [7, 8, 9]]
Y = [[9, 8, 7],
    [6, 5, 4],
    [3, 2, 1]]
Z = [[5, 5, 5],
    [5, 5, 5],
    [5, 5, 5]]
result = [[0, 0, 0],
         [0, 0, 0],
         [0, 0, 0]]
# iterate through rows
for i in range(len(X)):
    # iterate through columns
    for j in range(len(X[0])):
        result[i][j] = X[i][j] + Y[i][j] + Z[i][j]
# printing result
for r in result:
    print(r)

Try Now



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