Matrix

Transposed matrix

Transposed matrix
  1. What happens when a matrix is transposed?
  2. Are transposed matrices equal?

What happens when a matrix is transposed?

In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations).

Are transposed matrices equal?

Two matrices are equal to one another if they are exactly the same size and have exactly the same elements in exactly the same places. You can't get much more equal than that. And when a matrix is transposed, it keeps all its elements, but most switch positions.

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