Matrix multiplication only works for matrices with the same number of columns in the first matrix as rows in the second matrix. If the matrices have different sizes, the number of columns and rows will not match up, making it impossible to multiply them.
Yes, matrix multiplication can be performed on non-square matrices as long as the number of columns in the first matrix is equal to the number of rows in the second matrix. However, the resulting matrix will have a different size from the original matrices.
No, the same rules for matrix multiplication apply to matrices with complex numbers. The only difference is that the resulting matrix will also have complex numbers.
No, matrix multiplication is not commutative, meaning that the order of the matrices matters. Multiplying A x B is not the same as multiplying B x A. However, it is associative, meaning that (A x B) x C is equal to A x (B x C).
No, matrix multiplication can be performed on matrices with any type of values, as long as the number of columns in the first matrix matches the number of rows in the second matrix. The resulting values may be different depending on the type of values in the matrices, but the multiplication will still work.