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# anirudhjayaraman/Section2_7_13.m

Created Dec 14, 2015
Solution to Problem 13, Section 2.7 Linear Algebra (Gilbert Strang)
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 % Solution for part (a) p = permMatrices(3); n = size(p,3); % number of permutation matrices v = zeros(n,1); % vector of zeros with dimension equalling number of permutation matrices % check for permutation matrices other than identity matrix with 3rd power equalling identity matrix for i = 1:n if p(:,:,i)^3 == eye(3) v(i,1) = 1; end end v(1,1) = 0; % exclude identity matrix ans1 = p(:,:,v == 1) % Solution for part (b) P = permMatrices(4); m = size(P,3); % number of permutation matrices t = zeros(m,1); % vector of zeros with dimension equalling number of permutation matrices % check for permutation matrices with 4th power equalling identity matrix for i = 1:m if P(:,:,i)^4 == eye(4) t(i,1) = 1; end end % print the permutation matrices ans2 = P(:,:,t == 0)
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