'1 Calculate the LU factorization with 1= ~ 7 pivoting for'
Added by Aaron V.
Step 1
First, we need to write the given matrix in the form of [A|b], where b is the column vector of constants (if there is any). Show more…
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Find an LU factorization of the matrices in Exercises $7-16$ (with $L$ unit lower triangular). Note that MATLAB will usually produce a permuted LU factorization because it uses partial pivoting for numerical accuracy. $$ \left[\begin{array}{rrrr}{1} & {4} & {-1} & {5} \\ {3} & {7} & {-2} & {9} \\ {-2} & {-3} & {1} & {-4} \\ {-1} & {6} & {-1} & {7}\end{array}\right] $$
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Find an LU factorization of the matrices in Exercises $7-16$ (with $L$ unit lower triangular). Note that MATLAB will usually produce a permuted LU factorization because it uses partial pivoting for numerical accuracy. $$ \left[\begin{array}{rrr}{3} & {-6} & {3} \\ {6} & {-7} & {2} \\ {-1} & {7} & {0}\end{array}\right] $$
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