Need help in matlab is it possible to inverse a Matrix involve unknown?

[feicobain]

I need to find the transfer function a system equation and it is in the form

[x/y]=[A]^-1

x is input, y is out

[A] is a 2x2 matrix in the form of

A=[1+s 2
3 4+s ]

s is the laplace tranform function

Is it possible to output the inverse of [A] in MATLAB even it involve s?

I know I can inverse a 2x2 matrix by hand but I can't inverse a 4x4 matrix.

Cheers.

 

[MATLABdude]

As far as I know, not without the symbolic toolbox. Maple or Mathematica or Mathcad (or my old TI-89) can, however.

 

[oswaler]

Yes, it is possible to output the inverse of [A] in MATLAB even if it involves unknowns. MATLAB has built-in functions for matrix inversion, such as the "inv" function. However, in this case, since the matrix [A] involves the variable "s", it is not a constant matrix and cannot be inverted using traditional methods. You will need to use symbolic variables and functions in MATLAB to handle the unknowns in the matrix.

One way to solve this problem is to use the "sym" function in MATLAB to create symbolic variables for the unknowns in the matrix. Then, you can use the "inv" function to invert the matrix and obtain the symbolic inverse. From there, you can use the "subs" function to substitute specific values for "s" and obtain a numerical inverse matrix.

Another approach is to use the "minverse" function in MATLAB, which can handle symbolic variables and functions in the matrix. This function will automatically compute the inverse matrix, taking into account the unknowns in the matrix.

Overall, it is possible to obtain the inverse of [A] in MATLAB even if it involves unknowns, but you will need to use symbolic variables and functions to handle the unknowns in the matrix.