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Inverse of a Transpose Matrix | Linear Algebra

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We prove the inverse of a transpose is the transpose of the inverse and see an example of the inverse of a transpose. More precisely, if A is an invertible matrix and A^T is its transpose, then the inverse of A^T, which we write as (A^T)^-1, is actually just the transpose of A inverse, that is (A^T)^-1 = (A^-1)^T. We prove this using the fact that (AB)^T=A^T * B^T. #linearalgebra
Properties of Matrix Transpose: (coming soon)
Transpose of a Product: (coming soon)
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Properties of Matrix Transpose: (coming soon)
Transpose of a Product: (coming soon)
◉Textbooks I Like◉
★DONATE★
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Follow Wrath of Math on...
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