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Is it true that the transpose of the transpose of a matrix is the original matrix?
yes, it is true that the transpose of the transpose of a matrix is the original matrix
What is transpose of the sparse matrix?
Another sparse matrix.
Are adjoint and transpose the same?
No, adjoint and transpose are not the same, although they are related concepts in linear algebra. The transpose of a matrix is obtained by flipping it over its diagonal, while the adjoint (or adjugate) refers to the transpose of the cofactor matrix. In the context of complex matrices, the adjoint often refers to the conjugate transpose, which combines both the transpose and complex conjugation.
What is harmitian matrix?
Hermitian matrix (please note spelling): a square matrix with complex elements that is equal to its conjugate transpose.
What is the definition of unitary matrix?
It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means thatU*U = UU* = I. Where I is the identity matrix.
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.
Is it true that the transpose of the transpose of a matrix is the original matrix?
yes, it is true that the transpose of the transpose of a matrix is the original matrix
What is the Algorithm for transpose of matrix in python?
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?
draw the flowchart for transpose of a matrice
What is the definition of transpose in regards to a matrix?
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.
What is transpose of the sparse matrix?
Another sparse matrix.
What is a symmetric matrix?
a square matrix that is equal to its transpose
How can one find a unitary matrix?
To find a unitary matrix, one must first square the matrix and then take the conjugate transpose of the result. If the conjugate transpose of the squared matrix is equal to the identity matrix, then the original matrix is unitary.
How do you find transportation of matrix?
Invert rows and columns to get the transpose of a matrix
Are adjoint and transpose the same?
No, adjoint and transpose are not the same, although they are related concepts in linear algebra. The transpose of a matrix is obtained by flipping it over its diagonal, while the adjoint (or adjugate) refers to the transpose of the cofactor matrix. In the context of complex matrices, the adjoint often refers to the conjugate transpose, which combines both the transpose and complex conjugation.
What is the meaning of transpose?
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.
What is an adjoint matrix?
The classical adjoint of a square matrix A the transpose of the matrix who (i, j) entry is the a i j cofactor.
