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The transpose of a matrix A is another matrix where the rows of A are written as columns. Vectors can be transposed in the same way. We can write the transpose of A using different symbols such as AT,[1][2] A[3] Atr and At.

Examples[change | change source]

Here is the vector being transposed:

Here are a few matrices being transposed:

Properties[change | change source]

Given two matrices A and B, the following properties related to the transpose are true:[3]

Related pages[change | change source]

References[change | change source]

  1. "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-09-08.
  2. Nykamp, Duane. "The transpose of a matrix". Math Insight. Retrieved September 8, 2020.
  3. 3.0 3.1 Weisstein, Eric W. "Transpose". Retrieved 2020-09-08.