To be answered on paper (scan and upload to BrightSpace: Consider the following system 1 1...

  

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To be answered on paper (scan and upload to BrightSpace: Consider the following system 1 1 2 1 -1 1 0 - ][ {]-[3] 0 X Y 2 (a) (5 points) Perform the PA = LU factorization (with pivoting) of the coefficient matrix by hand, and find the corresponding matrices P, L and U. (b) (5 points) Solve this equation using P, L, and U by hand. (c) (5 points) Write a Python function PALU to perform the PA = LU factorization for a matrix A. It should return the matrices P, L and U. (d) (5 points) Write a Python function PALUSolve to solve a function Ax = b using the PALU factorization (you may call the PALU function above). It should take the matrix A and the vector b as arguments, and return the solution x. • Hint: to solve Ax = b, we want to solve PA = Pb := b., that is,vate V LU = 6. Go to Setting To be answered on paper (scan and upload to BrightSpace: Consider the following system 1 1 2 1 -1 1 0 - ][ {]-[3] 0 X Y 2 (a) (5 points) Perform the PA = LU factorization (with pivoting) of the coefficient matrix by hand, and find the corresponding matrices P, L and U. (b) (5 points) Solve this equation using P, L, and U by hand. (c) (5 points) Write a Python function PALU to perform the PA = LU factorization for a matrix A. It should return the matrices P, L and U. (d) (5 points) Write a Python function PALUSolve to solve a function Ax = b using the PALU factorization (you may call the PALU function above). It should take the matrix A and the vector b as arguments, and return the solution x. • Hint: to solve Ax = b, we want to solve PA = Pb := b., that is,vate V LU = 6. Go to Setting

Answer rating: 100% (QA)

a PA LU factorization with pivoting for the coefficient matrix Matrix A 1 1 0 2 1 1 1 1 1 Step 1 Cho... View the full answer