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Introduction to Matlab Syms

In MATLAB, syms is used as a shortcut to the inbuilt function sym. This function can be used to create symbolic variables. The Symbolic variables used in MATLAB are not constants like the regular variables; we do not assign values to them. One important function in this toolbox is the syms function, which creates a symbolic object and automatically assigns it to a MATLAB variable with the same name. This allows for convenient manipulation and evaluation of symbolic expressions in MATLAB.

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Syntax of Matlab Syms

Syntax for Syms Function in Matlab:

syms variable1 variable2 …... variableN

syms variable1 variable2 …... variabeN [n1 …... nM]

syms f(variable1, variable2, …..., variableN)

Description:

syms variable1 variable2 …… variableN is used to create symbolic variables variable1 … variableN. Separate different variables by spaces. ‘syms’ function will clear all the assumptions from variables.

syms variable1 variable2….. variableN [n1 … nM] is used to create symbolic arrays variable1 …. variable. Each array will have the size n1- X -…- X -nM & will contain automatically generated symbolic variables.

syms f(variable1, vaiable2, ….., variableN)is used to create the symbolic function & symbolic variables, which will represent input arguments of function ‘f.’ Please note that a single call can be used to create more than one symbolic function.

Examples of Matlab Syms

Let us now understand the code to use syms in MATLAB.

Example #1

Code:

syms A

[Creating symbolic variable A using syms]

[Displaying the variable created]

The command syms A will create a symbolic variable ‘A’ & will automatically assign it to a MATLAB variable with the same name.

This is how our input and output will look in the MATLAB command window:

Input:

Output:

As we can see in the output, the command syms A has created a symbolic variable ‘A’ & assigned it to a variable with the same name (A).

Example #2

In this example, we will use syms function to create multiple variables.

Code:

syms A B C

[Creating symbolic variables, A, B, C using syms] C

[Displaying the variables created]

The command syms A B C will create 3 symbolic variables A, B & C & will automatically assign these to MATLAB variables with the same name.

This is how our input and output will look like in MATLAB command window:

Input:

Output:

As we can see in the output, the command ‘syms A B C’ has created 3 symbolic variables and assigned them to variables with the same name (A, B, C).

Example #3

Code:

syms x [1 5]

[Creating symbolic vector ‘x’ using syms]

The command syms x [1 5] will create a symbolic vector ‘x’ of the size 1 X 5

[Displaying the vector created]

This is how our input and output will look like in MATLAB command window:

Input:

syms x [1 5] x

Output:

As we can see in the output, the command syms x [1 5] has created a symbolic vector of the size 1 X 5.

Example #4

In this example, we will use syms function to create a symbolic matrix with multiple rows. This output matrix will have its elements generated automatically in the workspace.

Code:

syms x [2 4]

[Creating symbolic matrix ‘x’ using syms]

The command syms x [2 4] will create a symbolic matrix ‘x’ of the size 2 X 4

[Displaying the matrix created]

This is how our input and output will look like in MATLAB command window:

Input:

syms x [2 4]

Output:

As we can see in the output, the command syms x [2 5] has created a symbolic matrix of the size 2 X 4.

Example #5

In this example, we will use syms function to create a symbolic function with 3 variables x, y, z. Below are the steps we will follow:

Create a symbolic function of required variables/arguments.

Specify the formula for the function created.

Pass the arguments to compute the value of the function.

Code:

syms f(x,y,z)

[Creating symbolic function ‘f’ using syms]

f(x,y,z) = 2*x + 5*y - z^2

[Specify the formula for the function created]

f(1,2,3)

[Pass the arguments to compute the value of the function]

This is how our input and output will look like in MATLAB command window:

Input:

f(1,2,3)

Output:

As we can see in the output, the command syms f (x, y, z) has created a symbolic function ‘f’.

Conclusion

Syms function is used in creating symbolic variables dynamically.

These are used to solve various expressions with the help of functions available in MATLAB.

Syms function can also be used in creating symbolic functions dynamically.