Matrix Multiplication By now, you should understand the rules for matrix multipl
ID: 3031865 • Letter: M
Question
Matrix Multiplication By now, you should understand the rules for matrix multiplication in linear algebra and how MATLAB makes this easy. To fully appreciate how MATLAB does this, you will "manually" write code to replicate what MATLAB's matrix multiplication operator (*) does "behind the scenes." Using the matrices A and B shown below, write a nested for loop in MATLAB to "manually" multiply them according to the rules of linear algebra. Your result should agree with the product AB shown below. A = [1 2 3 4] B = [2 3 4 5] AB = [10 18 22 29]Explanation / Answer
A=[1 2 ;3 4]
B=[2 3; 4 5];
[rowsA, colsA] = size(A);
[rowsB, colsB] = size(B);
theMatrixProduct = zeros(rowsA, colsB);
for row = 1 : rowsA
row % Print progress to command window.
for col = 1 : colsB
theSum = 0;
for k = 1 : colsA
theSum = theSum + A(row, k) * B(k, col);
end
theMatrixProduct(row, col) = theSum;
end
end