MATLAB linspace

MATLAB linspace

linspace is a function in the MATLAB language for scientific computing. It is used to create a sequence of evenly spaced numbers over a specified interval.

Here is an example of how to use linspace in MATLAB:

% Create a vector of 10 numbers from 0 to 1, evenly spaced
x = linspace(0, 1, 10);
disp(x)  % This will display [0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9]

% Create a vector of 5 numbers from 5 to 10, evenly spaced
x = linspace(5, 10, 5);
disp(x)  % This will display [5.0, 6.25, 7.5, 8.75, 10.0]

% Create a matrix of numbers from 0 to 1, with 10 rows and 5 columns, evenly spaced
x = linspace(0, 1, 10, 5);
disp(x)  % This will display a 10x5 matrix of evenly spaced numbers from 0 to 1

linspace takes four arguments: start, stop, n, and d. The start and stop arguments specify the starting and ending numbers of the sequence, respectively. The n argument specifies the number of evenly spaced numbers to generate, and the d argument specifies the dimensions of the output array. If the d argument is not specified, linspace will create a row vector.

Creating a matrix

In MATLAB, you can use the linspace function to create a matrix of evenly spaced numbers. To do this, you need to specify the dimensions of the matrix in the d argument of linspace.

Here is an example of how to use linspace to create a matrix:

% Create a matrix of numbers from 0 to 1, with 10 rows and 5 columns, evenly spaced
x = linspace(0, 1, 10, 5);
disp(x)  % This will display a 10x5 matrix of evenly spaced numbers from 0 to 1

% Create a 3x3 matrix of numbers from 0 to 1, evenly spaced
x = linspace(0, 1, 3, [3, 3]);
disp(x)  % This will display a 3x3 matrix of evenly spaced numbers from 0 to 1

% Create a column vector of numbers from 0 to 1, with 10 elements, evenly spaced
x = linspace(0, 1, 10, [10, 1]);
disp(x)  % This will display a column vector of evenly spaced numbers from 0 to 1

In the examples above, we use the d argument of linspace to specify the dimensions of the output matrix.

Conclusion

linspace is a function in the MATLAB language for scientific computing. It is used to create a sequence of evenly spaced numbers over a specified interval.