Transpose

Matrix operation which flips rows with columns and vice versa

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.

ExamplesEdit

Here is the vector   being transposed:

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Here are a few matrices being transposed:

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PropertiesEdit

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

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Related pagesEdit

ReferencesEdit

  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". mathworld.wolfram.com. Retrieved 2020-09-08.