Question

MATLAB:

Do the following with the provided .m file

(b) Now on the MATLAB prompt, let us create any two 3 × 3 matrices and you can do the following:

X=magic(3);

Y=magic(3);

X*Y

matrixMultiplication3by3(X,Y)

(c) Now write a new function in MATLAB called matrixMultiplication that can multiply any two n × n matrix. You can safely assume that we will not test your program with matrices that do not have their inner dimensions matched up

CODE:

function [C] = matrixMultiplicationFor3by3(A,B)

b1=B(:,1);

b2=B(:,2);

b3=B(:,3);

a1=A(:,1);

a2=A(:,2);

a3=A(:,3);

c1=a1*b1(1)+a2*b1(2)+a3*b1(3);

c2=a1*b2(1)+a2*b2(2)+a3*b2(3);

c3=a1*b3(1)+a2*b3(2)+a3*b3(3);

C=[c1 c2 c3];

Answer 1

CODE:

b)

function SQUARE(n)
x=magic(n);
y=magic(n);
z=x*y;
disp('x value is:')
disp(x)
disp('y value is:')
disp(y)
disp('z value is:')
disp(z)
end

OUTPUT:

>> SQUARE(3)
x value is:
     8     1     6
     3     5     7
     4     9     2

y value is:
     8     1     6
     3     5     7
     4     9     2

z value is:
    91    67    67
    67    91    67
    67    67    91

>>

c)

CODE:

function matrixmultipilcation(n)
x=magic(n)
y=magic(n)
[Rx, Cx] = size(x);
[Ry, Cy] = size(y);
MatrixProduct = zeros(Rx, Cy);
for row = 1 : Rx
for col = 1 : Cy
    S= 0;
    for k = 1 : Cx
      S= S+ x(row, k) * y(k, col);
    end
    MatrixProduct(row, col) = S;
end
end
disp('matrix product')
disp(MatrixProduct)

OUTPUT:

>> matrixmultiplication(4)

x =

    16     2     3    13
     5    11    10     8
     9     7     6    12
     4    14    15     1

y =

    16     2     3    13
     5    11    10     8
     9     7     6    12
     4    14    15     1

matrix product
   345   257   281   273
   257   313   305   281
   281   305   313   257
   273   281   257   345

>>