Please help me with these 3 matlab questions! 1. Write a MATLAB function with th

Question

Please help me with these 3 matlab questions!

1. Write a MATLAB function with the header

function [M1, M2] = mySplitMatrix(M)

where M is a matrix, M1 is the left half of M, and M2 is the right half of M. In the case where there is an odd number of columns, the middle column should go to M1. Hint: the size and mod functions should be helpful.

3.

(2) Write a MATLAB function with the header function [M] = myCheckerBoard(n) where M e RnXn has the following form: 1 01 0 1 and n is a positive integer. Note that the upper-left element should always be 1.

Explanation / Answer

Question 1: Matlab code:

function [M1,M2] = mySplitMatrix(M)
mid = fix(size(M,2)/2) + rem(size(M,2), 2);
M1 = M(:,1:mid);
M2 = M(:,mid+1:size(M,2));
end

Sample test:

Output:

Sample test:

Output:

m1 =

Question 2: Matlab code:

function [M] = myCheckerboard(n)
start = 1;
M = [];
for j = 1:n
row = [];
tmp = start;
for i = 1:n
row = [row,tmp];
if(tmp == 1)
tmp = 0;
else
tmp = 1;
end
end
M = [M;row];
if(start == 1)
start = 0;
else
start = 1;
end
end
end

Sample Output:

>> M = myCheckerboard(6)

M =

1 0 1 0 1 0
0 1 0 1 0 1
1 0 1 0 1 0
0 1 0 1 0 1
1 0 1 0 1 0
0 1 0 1 0 1

>> M = myCheckerboard(5)

M =

1 0 1 0 1
0 1 0 1 0
1 0 1 0 1
0 1 0 1 0
1 0 1 0 1

Question 3:

function[C] = MyMatMult(A,B)
m = size(A,1); k = size(A,2);
n = size(B,2);
C = zeros(m,n);
ii = 1; jj = 1; kk = 1;
for ii = 1:m
for jj = 1:n
for kk = 1:k
C(ii,jj) = C(ii,jj) + (A(ii,kk) * B(kk,jj));
end
end
end
end

Sample Test:

A = rand(3,4);
B = rand(4,5);
C1 = MymatMult(A,B);
C2 = A*B;
norm(C2-C1)
(C2-C1)

Sample Output:

ans =

0

ans =

0 0 0 0 0
0 0 0 0 0
0 0 0 0 0

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