Matlab Vector Times Matrix: Understanding the Basics

In MATLAB, vector times matrix multiplication is a fundamental operation used to scale or multiply input signals with gain. The `Gain` block is a powerful tool that allows you to perform this operation in a flexible and efficient manner.

To start using the `Gain` block, first set the data type and scaling of the gain to be the same as that of the input, or to be inherited via an internal rule. This ensures that the output has the correct format for further processing. Additionally, if you select the 'Show additional parameters' checkbox, you'll have access to more advanced settings.

When using the `Gain` block with matrix multiplication, you can specify the order of the multiplicands using the 'Multiplication' parameter. This allows you to perform operations such as `(K*u)` or `(u*K)`, where `K` is a gain matrix and `u` is an input vector.

One of the key features of the `Gain` block is its ability to perform element-wise multiplication, also known as point-wise multiplication. In this mode, each element of the input vector is multiplied by each corresponding element of the gain vector or matrix. This can be useful when you need to scale individual elements of an input signal.

The `Gain` block also supports complex-valued inputs and outputs, making it a versatile tool for a wide range of applications. Whether you're working with real-world signals or mathematical constructs, the `Gain` block provides a simple way to multiply your data with gain.

In addition to its flexibility, the `Gain` block is also highly configurable. You can specify the value of the gain using the 'Gain' parameter, and choose from a range of multiplication modes, including element-wise and matrix multiplication.

In conclusion, the `Gain` block in MATLAB provides a powerful way to perform vector times matrix multiplication with ease. By understanding how to use this block effectively, you can take full advantage of its flexibility and capabilities to solve complex signal processing problems.

Matlab vector times matrix