yes, it is true that the transpose of the transpose of a matrix is the original matrix
A sparse matrix is a matrix in which most of the elements are zero.
A sparse matrix is one which normally contains a large proportion of elements whose value is 0. There is no exact proportion at which a matrix becomes sparse.
Hermitian matrix (please note spelling): a square matrix with complex elements that is equal to its conjugate transpose.
A matrix that have one or more elements with value zero.
A fast-transpose is a computer algorithm that quickly transposes a sparse matrix using a relatively small amount of memory. Using arrays normally to record a sparse matrix uses up a lot of memory since many of the matrix's values are zero. In addition, using the normal transpose algorithm to transpose this matrix will take O(cols*elements) amount of time. The fast-transpose algorithm only uses a little memory to record the matrix and takes only O(cols+elements) amount of time, which is efficient considering the number of elements equals cols*rows.
yes, it is true that the transpose of the transpose of a matrix is the original matrix
A sparse matrix is a matrix in which most of the elements are zero.
The Transpose of a MatrixThe matrix of order n x m obtained by interchanging the rows and columns of the m X n matrix, A, is called the transpose of A and is denoted by A' or AT.
a square matrix that is equal to its transpose
DataStructure-Program to transpose a sparse matrix.#include #include #include #define MAX1 3#define MAX2 3struct sparse{int *sp ;int row ;} ;void initsparse ( struct sparse * ) ;void create_array ( struct sparse * ) ;void display ( struct sparse ) ;int count ( struct sparse ) ;void create_tuple ( struct sparse *, struct sparse ) ;void display_tuple ( struct sparse ) ;void transpose ( struct sparse *, struct sparse ) ;void display_transpose ( struct sparse ) ;void delsparse ( struct sparse * ) ;void main( ){struct sparse s[3] ;int c, i ;for ( i = 0 ; i sp = ( int * ) malloc ( MAX1 * MAX2 * sizeof ( int ) ) ;for ( i = 0 ; i < MAX1 * MAX2 ; i++ ){printf ( "Enter element no. %d:", i ) ;scanf ( "%d", &n ) ;* ( p -> sp + i ) = n ;}}/* displays the contents of the matrix */void display ( struct sparse s ){int i ;/* traverses the entire matrix */for ( i = 0 ; i < MAX1 * MAX2 ; i++ ){/* positions the cursor to the new line for every new row */if ( i % MAX2 0 )printf ( "\n" ) ;printf ( "%d\t", * ( p.sp + i ) ) ;}}/* deallocates memory */void delsparse ( struct sparse *p ){free ( p -> sp ) ;}
A sparse matrix is one which normally contains a large proportion of elements whose value is 0. There is no exact proportion at which a matrix becomes sparse.
write a programe to build a sparse matrix as an array. write function to check if the sparse matrix is a square, diagonal,lower triangular, upper triangular or tridiagonal matrix
Invert rows and columns to get the transpose of a matrix
A sparse matrix is matrix that allows special techniques to take advantage of large number of zero element. Application of sparse matrix is classification and relationship analysis in large data base system - SPARCOM
The transpose of a matrix A is the matrix B that is obtained by swapping the rows and columns of A into the columns and rows of B. In algebraic form, if A = {aij} then B = {aji} is its transpose, where 1 ≤ i ≤ n and 1 ≤ j ≤ m.
The classical adjoint of a square matrix A the transpose of the matrix who (i, j) entry is the a i j cofactor.