Describe the effect of on A of right multiplication by the permutation matrix E. The third command uses the vector p to permute the rows of the identity, so row p(1)=3 becomes row 1, row p(2) =1 becomes row 2, row p(3) =4 becomes row 3 and so on (compare these row permutations with the vector p defined above).Ĭompute the product AE and compare the answer with the matrix A.The command eye(length(p)) creates a 5 x 5 identity matrix.The command length(p) computes the length of the vector p in this example the length is 5, since there are 5 entries in the vector). For example, we can construct 0 0 1 0 0 1 0 0 0 0 E = 0 0 0 1 0 0 0 0 0 1 LO 1 0 0 0 by using the MATLAB commands 5 p= % permutation vector that defines the new order of the rows Ereye(length(p)) % define E as the identity matrix E=E(p, :) E = 5x5 1 0 0 A 1 0 0 1 A 0 0 0 1 0 0 1 0 0.
One way to construct permutation matrices is to permute the rows (or columns) of the identity matrix. In this section we will look at properties of permuation matrices. Permutation matrices A permutation matrix is a square matrix that has exactly one 1 in every row and column and O's elsewhere. In the same LiveScript or the MATLAB command window, generate a 5 x 5 matrix A with integer entries using the command A-floor(1e* rand(5)) Answer the following questions.
0 kommentar(er)
