EXERCISE - 11 MULTI-DIMENSIONAL LISTS

A) Write a program that defines a matrix and prints.
B) Write a program to perform addition of two square matrices.
C) Write a program to perform multiplication of two square matrices.

A) AIM: Write a program that defines a matrix and prints.

SOURCE CODE:

mtrx=[[]]
rows=int(input("Enter number of rows:"))
cols=int(input("Enter number of columns:"))
print("Enter %d X %d matrix elements::"%(rows,cols))
mtrx=[[int(input()) for j in range(cols)] for i in range(rows)]
print("Given matrix is::")
for i in range(rows):
    for j in range(cols):
        print(mtrx[i][j],end="\t")
    print()

OUTPUT:

Enter number of rows:3
Enter number of columns:2
Enter 3 X 2 matrix elements::
2
5
6
8
3
9
Given matrix is::
2 5 
6 8 
3 9


B) AIM: Write a program to perform addition of two square matrices.

SOURCE CODE:

mtrx1=[[]]
mtrx2=[[]]
mtrxsum=[[]]
r1=int(input("Enter number of rows of first matrix:"))
c1=int(input("Enter number of columns of first matrix:"))
r2=int(input("Enter number of rows of second matrix:"))
c2=int(input("Enter number of columns of second matrix:"))
if(r1==r2 and c1==c2):
    print("Enter first matrix elements %d X %d::"%(r1,c1))
    mtrx1=[[int(input()) for j in range(c1)] for i in range(r1)]
    print("Enter second matrix elements %d X %d::"%(r2,c2))
    mtrx2=[[int(input()) for j in range(c2)] for i in range(r2)]
    mtrxsum =[[mtrx1[i][j]+mtrx2[i][j] for j in range(c1)] for i in range(r1)]
    print("Addition of two matrices is::")
    for i in range(r1):
        for j in range(c1):
            print(mtrxsum[i][j],end="\t")
        print()
else:
    print("Addition of two matrices is impossible.")

OUTPUT:

Enter number of rows of first matrix:3
Enter number of columns of first matrix:2
Enter number of rows of second matrix:3
Enter number of columns of second matrix:2
Enter first matrix elements 3 X 2::
1
2
3
4
5
6
Enter second matrix elements 3 X 2::
6
7
8
9
10
11
Addition of two matrices is::
7 9 
11 13 
15 17 

C) AIM: Write a program to perform multiplication of two square matrices.

SOURCE CODE:

mtrx1=[[]]
mtrx2=[[]]
mtrxmul=[[]]
r1=int(input("Enter number of rows of first matrix:"))
c1=int(input("Enter number of columns of first matrix:"))
r2=int(input("Enter number of rows of second matrix:"))
c2=int(input("Enter number of columns of second matrix:"))
if(c1==r2):
    print("Enter first matrix elements %d X %d::"%(r1,c1))
    mtrx1=[[int(input()) for j in range(c1)] for i in range(r1)]
    print("Enter second matrix elements %d X %d::"%(r2,c2))
    mtrx2=[[int(input()) for j in range(c2)] for i in range(r2)]
    mtrxmul=[[0 for j in range(c2)] for i in range(r1)] 
    for i in range(r1):
        for j in range(c2):
            for k in range(c1):
                mtrxmul[i][j]=mtrxmul[i][j]+mtrx1[i][k]*mtrx2[k][j]
    print("Multiplication of two matrices is:")
    for i in range(r1):
        for j in range(c2):
            print(mtrxmul[i][j],end="\t")
        print()    
else:
    print("Multiplication of two matrices is impossible.")

OUTPUT:

Enter number of rows of first matrix:3
Enter number of columns of first matrix:2
Enter number of rows of second matrix:2
Enter number of columns of second matrix:2
Enter first matrix elements 3 X 2::
1
2
3
4
5
6
Enter second matrix elements 2 X 2::
7
8
9
10
Multiplication of two matrices is:
25 28 
57 64 
89 100