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Linear Algebra - LU factorization (L: Lower Triangular Matrix; U: Upper Triangular Matrix)
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YouTubeMathWU悟数
Linear Algebra - LU factorization (L: Lower Triangular Matrix; U: Upper Triangular Matrix)
Linear Algebra and its application - David C. Lay Chapter 2: Matrix Algebra 2.5: Matrix Factorizations Find an LU factorization of the following matrices (with L unit lower triangular). Note that MATLAB will usually produces a permuted LU factorization because it uses partial pivoting for numerical accuracy. (1) -5 3 4 10 -8 -9 15 1 2 . (2) 1 4 ...
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Give 3 by 3 examples (not just the zero matrix) of (a) a diagonal matrix: ai j=0 if i ≠j. (b) a symmetric matrix: ai j=aj i for all i and j. (c) an upper triangular matrix: ai j=0 if i>j. (d) a skew-symmetric matrix: ai j=-aj for all i and j. | Numerade
Give 3 by 3 examples (not just the zero matrix) of (a) a diagonal matrix: ai j=0 if i ≠j. (b) a symmetric matrix: ai j=aj i for all i and j. (c) an upper triangular matrix: ai j=0 if i>j. (d) a skew-symmetric matrix: ai j=-aj for all i and j. | Numerade
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