Can You Switch Rows in a Matrix

You can switch the rows of a matrix to get a new matrix. In the example shown above, we move Row 1 to Row 2 , Row 2 to Row 3 , and Row 3 to Row 1 . (The reason for doing this is to get a 1 in the top left corner.)

How do you swap rows in a matrix?

So, to swap two rows of a matrix, left-multiply it by the appropriately-sized idenity matrix that has had its corresponding rows swapped. For example, to swap rows 0 and 2 of a 3×n matrix, left-multiply it by [001010100].

Can we interchange rows and columns in a matrix?

Yes, we can interchange (or swap) the columns in a matrix.