% Moed 2010 B bio  MatlabBio 76623   6/9/2010
%% part A solution    
clc
clear
format compact

%%  1
A = [linspace(2,11,4) ; 12 -7 5 9; ones(1,4)*7]
B = sort(A) 
C = B(end,:)

%%2
D = [1 -1 3;7 5 -3;-1 3 2; 7 6 5]  
M = logical(D+1) 
Z = reshape(M,2,6)

%%3
R = [6 3 ; 3 7 ; 11 9 ; 20 30]
s = min(R,[],2) 
u = numel(s)

%%4
a = 6:10
b = fliplr(a)
b(7) = 15
x = b>=8 & mod(b,3)==0

%%5
v=5:-2:1
q= v*(1:3)'
g = q*eye(2)

%% Solution 
%{ 
%% 1
A =
     2     5     8    11
    12     3     5     9
     7     7     7     7
B =
     2     3     5     7
     7     5     7     9
    12     7     8    11
C =
    12     7     8    11

%% 2
D =
     1    -1     3
     7     5    -3
    -1     3     2
     7     6     5
M =
     1     0     1
     1     1     1
     0     1     1
     1     1     1
Z =
     1     0     0     1     1     1
     1     1     1     1     1     1

%%3
R =
     6     3
     3     7
    11     9
    20    30
s =
     3
     3
     9
    20
u =
     4

%%4
a =
     6     7     8     9    10
b =
    10     9     8     7     6
b =
    10     9     8     7     6     0    15
x =
     0     1     0     0     0     0     1

%%5
v =

     5     3     1

q =

    14

g =

    14     0

     0    14


%}

-------------------------------------------------

function [m r] = q1(K ) 
 %function Q1 receives matrix K and returns:
 % the max value in m
 % the short index of the places  in which the max value appears in r
m=0;
m=max(max(K));
% Short way
r=find(K==m);
% Long Way
r=[];
for i = 1:numel(K)
    if K(i)==m
           r=[r i];
    end
end
   end
 ----------------------------------------------------
function [L] = q2(M ) 
 %function Q2 receives matrix M and returns:
 % True if all rows and columns in matrix are sorted in ascending order,
 % false otherwise
% Short way
%{
 S1=[];
S2=[];
S1=sort(M);
S2=sort(M,2);
if M==S1 & M==S2
    L=true
else
    L=false
end
%}

% long way
[x y] = size(M);
L=true
for i=1:x
     for j=1:y-1
            if M(i,j) > M(i,j+1)
                   L = false
                   return
            end
     end
end
for j=1:y
     for i=1:x-1
            if M(i,j) > M(i+1,j)
                   L = false
                   return
            end
     end
end
   end
---------------------------------------------------
function u = q3(D)
% q3 gets a matrix of integers D as input,
% and returns u.  What is u?
% try  D = [2 12 0 7; 3 6 5 9]

[m,n] = size(D);
 
u = ones(m,1);

for x = 1:m
       for y = 1:n
        if D(x,y) ==0
             u(x) =0;
        end
end
end

Same as : all(D,2)