Homework 3 Math 570A Fall 2009Do the following problems from the book 2.7.2, 3.1.1, 3.2.41) For the matrixA=21-13-20 0 041-26-6-12-3±nd theLU-decomposition and use forward and back substitution to solveAx=13-224-142) LetC∈Rn×nandb∈Rn. LetC=LUbe theLU-decomposition ofC. Write an algorithm to solveCx=bifLandUare known. Use matrix elements not submatrices in your algorithm. Count the number
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