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Question 1 What type of matrices does LU decomposition produce? Component matrices Triangular matrices Diagonal matrices Basic matrices uestion2 After LU decomposition, the system Lux = b can be solved easily by Iterated solution Gaussian elimination Forward and backward substitution 0 Factorization

Question3 Which of the following is a reason why LU decomposition is useful in application? Note: In the following, cheaper refers to a lower order-of-operation count O It is cheaper than Gaussian elimination O It is cheaper than Gaussian elimination when solving systems Ax-b repeatedly for different Amatri It is cheaper than Gaussian elimination when solving systems Ax-b repeatedly for different b vecto O The algorithm can be used to solve systems with singular matrices Question 4 Suppose A is a matrix in MATLAB and I run the following code: Which of the following is guaranteed to be true? OA is (approximately) equal to LUP PA is (approximately) equal to LU OA is (approximately) equal to PL-U A is (approximately) equal to LUu

Question 5 I want to use MATLAB to solve Ax-b with lu decomposition. First, I run the following code [L,U,P]-lu(A); Which of the following lines of code will solve for x? y- LP*b); xUNy

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