I need to input a matrix of size 2x2 which is something like this A= [ 1 - 1.8629z-1 + 0.8669z-2 , 0 ; 0 , 1 -1.8695z-1 + 0.8737z- 2 ] which is a 2x2 Matrix

I need to input this into my Code.

[Star Strider]

Does it have an associated denominator polynomial in z?

[Nithyaananth]

Basically, the first matrix is the discretized transfer functions for a 2 input and 2 output system. Next to get A(z^-1) = [(den11)*(den12) 0; 0 (den21)*(den22)] this has to be done.

Answer 1

[John D'Errico]

So do it. What is the problem? If z is known, then just type it in, pretty much as written.

Do you know how to raise a number to a power? Actually, z^-1 is just 1/z, a far simpler way to write the power. For example:

z = 1.5;

A = [1-1.8629/z + 0.8669/z^2, 0; ...
    0, 1 - 1.8695/z + 0.8737/z^2]

A = 2×2

0.1434 0 0 0.1420

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If all of this seems foreign to you, then you STRONGLY need to start with the basics of MATLAB. Do the MATLAB Onramp. And there are other basic MATLAB tutorials to be found.

[Nithyaananth]

Z is not known here,

Basically, the first matrix is the discretized transfer functions for a 2 input and 2 output system. Next to get A(z^-1) = [(den11)*(den12) 0; 0 (den21)*(den22)] this has to be done.

Answer 2

[Torsten]

Define A as a function of z:

A = @(z)[1-1.8629*z,0;0,1-1.8695*z+0.8737*z^2];
A(2) 

ans = 2x2

-2.7258 0 0 0.7558

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or as a symbolic matrix

syms z A(z)
A(z) = [1-1.8629*z,0;0,1-1.8695*z+0.8737*z^2];
A(2)

ans =