Solve for the following given the following matrix. [8 16 E=3 9-9 8 7 1 116 = determinant of E 117 = matrix of complementary minors of E 118 = matrix of cofactors of E 119 = adjoint of E II10 = inverse of E

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Q: Universal Generalization Show by universal generalization that ((ANC) UB) DDE (ANC) U (BND)

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LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.