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Is it true that the transpose of the transpose of a matrix is the original matrix?

In: Math and Arithmetic, C Programming, Algebra, Linear Algebra [Edit categories]

Answer:

yes,
it is true that the transpose of the transpose of a matrix is the original matrix

First answer by ID1976005307. Last edit by ID1976005307. Question popularity: 2 [recommend question].

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Transpose of a matrix?
include <stdio.h>#include<conio.h>void main(){int a[10][10],rows,cols:");clrscr();printf("enter the rows and cols:");scanf("%d%d",&rows,&cols")printf("enter the elements into the...
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.
Write a programme to transpose of a matrix?
Program to find the Transpose of a Matrix #include<stdio.h> #include<conio.h> void main() { int i,j,n,t; int m[5][5]; clrscr(); printf("Enter Order of Matrix : "); scanf("%d",&n);...
What is transpose of the sparse matrix?
Another sparse matrix.
Is the row space of matrix A equivalent to the column space of matrix AT which is the transpose?
Since the columns of AT equal the rows of A by definition, they also span the same space, so yes, they are equivalent.