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Algorithm for transpose of matrix

Updated: 10/18/2022
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transpose(Matrix mat,int rows, int cols ){ //construction step Matrix tmat; for(int i=0;i<rows;i++){ for(int j=0;j<cols;j++){ tmat[j][i] = mat[i][j]; } } }

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Q: Algorithm for transpose of matrix
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What is a fast-transpose algorithm for sparse matrices?

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.


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Algorithm: transpose Input: a matrix M[x][y] Output: the transpose of M (a matrix of order y * x) allocate N[y][x] for r = 0 to x-1 // iterate over rows for c = 0 to y-1 // iterate over columns N[c][r] = M[r][c] next c next r return N


Draw a flowchart to find the transpose of matrices?

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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.


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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 &le; i &le; n and 1 &le; j &le; m.


What is an adjoint matrix?

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