Unformatted text preview: 3 and b = e (1) = 1 (ii) From your work in part (i) , obtain the LU factorization of A . (iii) Using the above factorizations, solve Ax = b for b equal to the other two unit vectors, namely e (2) and e (3) . (iv) If x (1) , x (2) and x (3) are the solutions obtained above for b = e (1) , e (2) and e (3) , respectively, what is the relationship of the matrix X = b x (1) x (2) x (3) B to A ? Brie±y explain how x (2) and x (3) can be obtained at the same time as x (1) . S 7.2 . (i) Determine the LU factorization of A = 2 773 1 553 2 3 1 3 1 42 2 (ii) Solve Ax = b , where b = [10 56 3] T , by means of the two triangular systems Ly = b and Ux = y...
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 Spring '08
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 Linear Algebra, Determinant, Diagonal matrix, Triangular matrix

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