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5:39
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Mike, the Mathematician
Properties of the Matrix Inverse: Transpose and Production Rules
We prove rules relating to matrix inversion. Namely, if two matrices of the same dimension are invertible, then the product of the two matrices remains invertible and (AB)^{-1} = B^{-1}A^{-1}. We show that the transpose of an invertible matrix is again invertible and that the inverse of the transpose is the transpose of the inverse. # ...
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