北航数学实验matlab2课件.ppt

数学软件; 向量与矩阵的生成; 向量与矩阵的生成（续）;;常见矩阵生成函数;Hilbert Matrix;;;;Cauchy Matrix; help hankel HANKEL Hankel matrix. HANKEL(C) is a square Hankel matrix whose first column is C and whose elements are zero below the first anti-diagonal. HANKEL(C,R) is a Hankel matrix whose first column is C and whose last row is R. a=[1 2 3];b=[3 2 1]; hankel(a,b) ans = 1 2 3 2 3 2 3 2 1; help Toeplitz TOEPLITZ Toeplitz matrix. TOEPLITZ(C,R) is a non-symmetric Toeplitz matrix having C as its first column and R as its first row. TOEPLITZ(R) is a symmetric Toeplitz matrix for real R. a=[1 2 3];b=[1 3 4]; Toeplitz(a) ans = 1 2 3 2 1 2 3 2 1; help pascal PASCAL Pascal matrix. PASCAL(N) is the Pascal matrix of order N: a symmetric positive definite matrix with integer entries, made up from Pascals triangle. Its inverse has integer entries. pascal(4) ans = 1 1 1 1 1 2 3 4 1 3 6 10 1 4 10 20;矩阵操作; A=[1, 2, 3; 4, 5, 6; 7, 8, 9]; A(:,:) ans = 1 2 3 4 5 6 7 8 9 A(:) ans = 1 4 7 2 5 8 3 6 9;矩阵操作; B=fliplr(A) B = 3 2 1 6 5 4 C=flipud(A) C = 4 5 6 1 2 3 D=rot90(A), E=rot90(A,-1) D = 3 6 2 5 1 4 E = 4 1 5 2 6 3;矩阵操作; A=[1 2;2i 3i] A = 1.0000 2.0000 0 + 2.0000i 0 + 3.0000i B=A’ ??? B=A’ | Error: The input character is not valid in MATLAB statements or expressions. B=A B = 1.0000 0 - 2.0000i 2.0000 0 - 3.0000i C=A. C = 1.0000 0 + 2.0000i 2.0000 0 + 3.0000i;矩阵操作; A=[1 2 3;4 5 6; 7 8 9;10 11 12] A = 1 2 3 4 5 6 7 8 9 10 11 12 reshape(A,2,6) ans =