The following piece of code is supposed to multiply a matrix by a vector. The co

Question

The following piece of code is supposed to multiply a matrix by a vector. The code has several serious logical errors however. Clearly identify the errors and write the correct code. function mat_vect_mult % nra = input ('Enter the number of rows of the matrix: '); nca = input ('Enter the number of columns of the matrix: ') nentries_vect = input ('Enter the number of entries of the vector: '); A=rand (nra, nca); vect = rand (nentries_vect); if (nra ~= nentries_vect) disp ('Error - Multiplication cannot be performed'); else result=zeros (nra); for ii=1: nra mult (kk)=0.0; for jj = kk:nentries_a result(jj) = result(jj) + A(ii, jj)*vect(jj); end end disp (result) end

Explanation / Answer

function mat_vect_mult

nra = input('Enter the number of rows of the matrix: ');

nca = input('Enter the number of columns of the matrix: ');

nentries_vect = input('Enter the number of entries of the vector: ');

  

A = rand(nra, nca); %Creates a random array of size nra x nca.

vect = rand(1, nentries_vect); %Creates a random vector of size nentries_vect.

  

if nca ~= 1 %If number of columns of matrix not equals number of rows of vector, i.e., 1.

disp('Error - Multiplication cannot be performed.');

else

result = zeros(nra, nentries_vect);

for ii = 1 : nra

for jj = 1 : nentries_vect

result(ii, jj) = 0.0;

for kk = 1 : nca

result(ii) = result(ii, jj) + A(ii, kk) * vect(kk, jj);

end

end

end

disp(vect);

disp(A);

disp(result);

end

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