Dot product not working for 2d matrix

I want dot product of two matrix of shape (1,2)(2,3) but when I try it using dot(A,B) it thows an error to make the dimension same.

I am new to matlb, started today. any help is appreciated.

Thanks,

Kartik

Answer 1

[VBBV]

Matrices must be of same size to perform dot product. size_of A must be same as _size of B. You have A = 2x1 and B as 3x2. If A = 2x1 then B should also have 2x1 I.e. 2 rows and 1 column

[Kartik Kartik]

Thanks for such a quick response vasishta. But we can multiply matrices with dimen mXn and nXm. why does it have to be same. what to do if I can not make them same and still want the multiplication.

[Walter Roberson]

Algebraic Matrix Multiplication ("inner product") of a m x n matrix A and an n x p matrix B is defined as

C(i,j) = dot(A(i,:), B(:,j).')

which is

C(i,j) = sum(A(i,:).*B(:,j).')

However, dot product of two matrices A, B is defined in MATLAB as

C(1,i) = dot(A(:,i), B(:,i))

which requires that the two arrays be the same size.

If you want to be able to do dot product of two matrices of different sizes, you are going to need to define how you want the output to be calculated.

For example if your 1 x 2 is A and your 2 x 3 is B, then do you want

dot( repmat(A.', 1, size(B,2)), B)      %-> 1 x 3 result
dot( repmat(A, size(B,2), 1), B.')      %-> 1 x 2 result

[VBBV]

@Kartik. You mentioned about the general rule for matrix multiplication. The other option is to make A and B of same size as shown in Walter comment using repmat.