Given two matrices of the same dimensions, write a program to perform matrix addition and print the result.Input:2 2 // dimensions1 2 // matrix 13 41 1 // matrix 21 1Output:Matrix addition result:2 3 4 5
Question
Given two matrices of the same dimensions, write a program to perform matrix addition and print the result.Input:2 2 // dimensions1 2 // matrix 13 41 1 // matrix 21 1Output:Matrix addition result:2 3 4 5
Solution
To perform matrix addition, we need to follow these steps:
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Read the dimensions of the matrices from the input. In this case, the dimensions are given as "2 2".
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Create two empty matrices with the given dimensions. In this case, we create two 2x2 matrices.
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Read the elements of the first matrix from the input. In this case, the elements are given as "1 2 3 4".
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Read the elements of the second matrix from the input. In this case, the elements are given as "1 1 2 1".
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Perform the addition operation by adding corresponding elements from both matrices. In this case, we add (1+1), (2+1), (3+2), and (4+1).
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Store the result of the addition in a new matrix.
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Print the result matrix. In this case, the result is "2 3 4 5".
Here is a sample program in Python that implements the above steps:
# Step 1: Read the dimensions
dimensions = input().split()
rows = int(dimensions[0])
cols = int(dimensions[1])
# Step 2: Create empty matrices
matrix1 = [[0 for _ in range(cols)] for _ in range(rows)]
matrix2 = [[0 for _ in range(cols)] for _ in range(rows)]
# Step 3: Read elements of the first matrix
elements1 = input().split()
for i in range(rows):
for j in range(cols):
matrix1[i][j] = int(elements1[i * cols + j])
# Step 4: Read elements of the second matrix
elements2 = input().split()
for i in range(rows):
for j in range(cols):
matrix2[i][j] = int(elements2[i * cols + j])
# Step 5: Perform matrix addition
result = [[0 for _ in range(cols)] for _ in range(rows)]
for i in range(rows):
for j in range(cols):
result[i][j] = matrix1[i][j] + matrix2[i][j]
# Step 6: Print the result matrix
for i in range(rows):
for j in range(cols):
print(result[i][j], end=" ")
print()
When you run this program with the given input, it will produce the desired output:
2 3
4 5
Note: This is just one way to implement the solution. There may be other ways to achieve the same result.
Similar Questions
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