Given a representation 112345 siæ Complete its positional notation and calculate its decimal equivalent. o Fill ONLY the necessary columns. · For the value row, fill a cell in the format of d × b'. · You may use * in place of the x operator · You may use ^ to lead an exponent. · For example, to express 3 × 54, you would fill 3 * 5^4. · For the digit row, no need to use subscript to indicate the base. · For example, if a cell in the digit row holds 5, then it means 5six · o Fill NA in the unnecessary positions and columns. Position Digit Value 112345 six (fill the final decimal equivalent)

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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.