dot

Dot product.

📝 Syntax

• R = dot(A, B)

• R = dot(A, B, dim)

📥 Input argument

• A, B - numeric arrays.

• dim - positive integer scalar: Dimension to operate along.

📤 Output argument

• R - Scalar Dot Product.

📄 Description

R = dot(A, B) returns the scalar dot product of A and B.

For real vectors $\mathbf{a}$

and $\mathbf{b}$

of length $n$

: $\mathbf{a} \cdot \mathbf{b} = \sum_{i=1}^{n} a_i b_i = a_1 b_1 + a_2 b_2 + \cdots + a_n b_n$

For complex vectors, the dot product is: $\mathbf{a} \cdot \mathbf{b} = \sum_{i=1}^{n} \overline{a_i} b_i$

where $\overline{a_i}$

denotes the complex conjugate of $a_i$

📚 Bibliography

https://en.wikipedia.org/wiki/Dot_product

💡 Example

A = [1 2 3;4 5 6;7 8 9];
B = [9 8 7;6 5 4;3 2 1];
R = dot(A, B)
R = dot(A, B, 2)

🔗 See also

conj.

🕔 History

Version	📄 Description
1.0.0	initial version