Basic Learning of MATLAB -------- relational and logical operations and polynomial operations

An instance is provided directly. The instance contains instructions on knowledge points:

% Relational operator % <<=>== ~ = (Not equal to) % compare the values of the Chinese learning elements in the cube matrix to 4%. cube matrix: the sum of each column and two diagonal lines in the matrix is equal. A = magic (3) % generate a 3*3 cube matrix A> 4 * ones (3) % to compare with a matrix of all 4 magic (6) % generate 6x6 cube matrix % running result: % A = % 8 1 6% 3 5 7% 4 9 2% ans = % 1 0 1% 0 1 1% 0 1 0% ans = % 35 1 6 26 19 24% 3 32 7 21 23 25% 31 9 2 22 27 20% 8 28 33 17 10 15% 30 5 34 12 14 16% 4 36 29 13 18 11% % logical operator % & | ~ (Not) XOR (exclusive or) % relationship with logical function % XOR (x, y) exclusive or operation % Any (x) If X contains non-0 elements, 1 is returned, otherwise, 0% all (X) is returned. If all elements in the element are not 0, 1 is returned. Otherwise, 0% isequal (x, y) X and Y are returned, otherwise, set 0% ismember (x, y). If X is a subset of Y, the corresponding x element is set to 1, otherwise, set instance A = [1 2-3 0 0] B = [0 1 0 3 0] XOR (A, B) % result % A = % 1 2-3 0 0% B = % 0 1 0 3 0% ans = % 1 0 1 0any () % result % ans = % 1All (a) % result % ans = % 0 isequal (a, B) % result % ans = % 0 abismember (A, B) % if Element A is a subset of Element B, set the corresponding x element to 1. Otherwise, set the result to % A = % 1 2-3 0 0% B = % 0 1 0 3 0%. Ans = % 1 0 0 1 1 corresponds to 1, 0, 0 is all elements in B % polynomial operation % MATLAB stores the Polynomials with the Order N in the row vector with the length n + 1, and the elements are polynomial coefficients, % polynomial calculation function % polyval (p, x) is arranged in descending order of X to calculate polynomial p. If X is a scalar, the polynomial value at the X point is calculated. If X is a matrix or vector, all values are calculated. p1 = [2 3-5]; p2 = [3 0 0-4]; polyval (P1, 2) % calculated polynomial value at x = 2% result % ans = % 9 polyval (P1, P2) % calculate multiple values % result % ans = % 22-5-5 15% polyvalm (P, A) perform polynomial calculation on matrix A directly % Example A = [1 2 3]; % polynomial x ^ 2 + 2 * x + 3A = [1 2; 3 4]; % defines a two-dimensional matrix polyvalm (A,) % The result % ans = % 12 14% 21 33% is equivalent to directly replacing the variable X with the two-dimensional matrix A, that is, finding the Matrix polynomial of a ^ 2 + 2 * A + 3 * E. % Poly (B) Calculate the feature polynomial vector B of matrix A = [1 2 3; 4 5 6; 7 8 9] poly (B) % result % B = % 1 2 3% 4 5 6% 7 8 9% ans = % 1.0000-15.0000-18.0000-0.0000% poly (X1) returns a polynomial coefficient, the solution of this polynomial is the value X1 = [2 2 3 4]; Poly (X1) % result % ans = % 1-11 44-76 48% description: returns the polynomial p (x) = x ^ 4-11x ^ 3 + 44x ^ 2-76x + 48. if p (x) = 0, the root of Polynomial P is calculated as 2 2 3 4% roots (p) (the result may be a plural number) P = [1-11 44-76 48] roots (P) % result % P = % 1-11 44-76 48% ans = % 4.0000 + 0.20. I % 3.0000 + 0.20. I % 2.0000 + 0.20. I % 2.0000-0.20. I % compan (P) calculate a friend matrix of Polynomials with coefficients P. The characteristic polynomials of this matrix are pp = [1 2 3 4]; compan (P) % result % ans = %-2-3-4% 1 0 0% 0 1 0% Conv (p, q) Calculate the product of Polynomial p and q, convolutional P = [1, 2, 3] q = [4 5 6 7 8] Conv (p, q) % result % P = % 1 2 3% q = % 4 5 6 7 8% ans = % 4 13 28 34 40 37 24% [K, R] = deconv (p, q) calculate the polynomial P in addition to Q, k is the quotient polynomial, and r is the residue polynomial, which is equivalent to the inverse convolution q = [1, 2, 3] P = [4 5 6 7 8] [K, R] = deconv (p, q) % result % q = % 1 2 3% P = % 4 5 6 7 8% K = % 4-3 0% r = % 0 0 0 16 8

Basic Learning of MATLAB -------- relational and logical operations and polynomial operations