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• Level: GCSE
• Subject: ICT
• Word count: 497

# Matrix multiplication algorithm

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Introduction

Creation and implementation of an algorithm that works the Matrix multiplication n-1 Cij = ?aik * bkj K=0 (a) Basic operations 1) Comparison of number of rows of one matrix and number of columns of another to see if they are compatible 2) Multiplication (b) Work done Running time = ?(n3) (c) Algorithm Input number of rows and columns for each of the matrix { If(columnsofA !=rowsofb) Through invalid argument ("incompatible matrices") ...read more.

Middle

{ printf("matrices are incompatible"); goto start; } printf("enter matrix A\n"); for(i=0;i<nrow;++i) { for(j=0;j<ncol;++j) { scanf("%d",&p); a[i][j]=p; } printf("\n"); } printf("enter matrix B\n"); for(j=0;j<argnrow;++j) { for(k=0;k<argncol;++k) { scanf("%d",&p); b[i][j]=p; } printf("\n"); } printf("product"); for(i=0;i<nrow;++i) { for(j=0;j<ncol;++j) { sum=0; for(k=0;argncol;++k) sum+=a[i][j]*b[j][k]; c[i][k]=sum; } printf("%d",c[i][k]); } return 0; } Sample output 1 enter the value of ncol4 enter the value of nrow3 enter the value of argncol3 enter the value of argnrow4 enter matrix A 1 1 1 1 2 2 2 2 3 3 3 3 enter matrix B 4 4 4 1 ...read more.

Conclusion

value of ncol4 enter the value of nrow3 enter the value of argncol3 enter the value of argnrow4 enter matrix A 1 1 1 1 2 2 2 2 3 3 3 3 enter matrix B 4 4 4 1 2 3 1 1 1 3 2 1 product 9 9 9 18 18 18 27 27 27 Press any key to continue (f) In this case the worst case is when you multiply a20*20 matrix and a20*20 matrix since ma program is designed to accept atmost twenty items refference: http://www.brpreiss.com/books/opus4/html/page104.html ...read more.

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