***USING MATLAB***The product y = Ax of an m × n matrix A times a vector x = (x1
ID: 2079429 • Letter: #
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***USING MATLAB***The product y = Ax of an m × n matrix A times a vector x = (x1, x2, . . . , xn) T can be computed row-wise as
Instructions: For the following exercise. copy and paste into a text document the function M-files and the output obtained by running them 4. The product y Ax of an m x n matrix A times a vector x (ri,z2, ...,zn)T can be computed Toul-use as that is y (1) A(1, x y(2) A(2, x y Gm) A (m x Write a function M-file that takes as input a matrix A and a vector x, and as output gives the product y Ax by row, as defined above (Hint: use a for loop to define each entry of the vector y.) Your M-file should perform a check on the dimensions of the input variables A and x and return a message if the dimensions do not match. Call the file myrowproduct.m. Note that this file will NOT be the same as the myproduct.m M-file example. est your function on a random 2 x 3 matrix A and a random 3 x 1 vector x Compare the output with A x. Repeat with a 3 x 4 matrix and a 4 x 1 vector and with a 3 x 4 matrix and a 1 x 4 vector. Include in your lab report the function M-file and the output obtained by running itExplanation / Answer
.m file
function y = myrowproduct(A,x)
y=[];
[r1 c1]=size(A);
[r2 c2]=size(x);
if c1~=r2
disp('dimensions not agree');
return;
else
for i=1:r1
y(i,1)=A(i,:)*x;
end
end
end
command window output:
>> clear all
>> A = [1 2 3;4 5 6]
A =
1 2 3
4 5 6
>> b = [1;2;3]
b =
1
2
3
>> m1 =myrowproduct(A,b)
m1 =
14
32
>> C = [1 2 3 4;4 5 6 7;2 5 4 7]
C =
1 2 3 4
4 5 6 7
2 5 4 7
>> x = [4;2;7;8]
x =
4
2
7
8
>> m1 =myrowproduct(C,x)
m1 =
61
124
102
>> x = x'
x =
4 2 7 8
>> m1 =myrowproduct(C,x)
dimensions not agree
m1 =
[]
>>
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