Matrix Inversion Process Help

How can I see the operations of a matrix inversion on Matlab? For example, I am trying to find the inverse of a 3x3 matrix. How can I see the steps of [A | I] >>> Elementary Row Operations>>> [I | A^(-1)] ?

Besides, Is there any way to make Matlab do all the calculations in fractional numbers, instead of e.g. 0.2 ?

Answer 1

[Walter Roberson]

To have the calculations done as fractions, use the Symboblic Toolbox

[Taner Cokyasar]

I am a new user. Could you please explain a little bit more where this Symbolic Toolbox is and how to use it by a simple example, if possible?

Thanks

[Walter Roberson]

If you have the Student Version license that includes Symbolic Toolbox, and have installed the toolbox, then

sym('1/2') + sym('1/3')

would be sym('5/6') which would display as 5/6

If you have an expression such as

syms A B C
expr = (A^2+B)/C
subs(expr, {A, B, C}, {4, 3, 7})

would give you sym('19/7') which would display as 19/7

However, if you were to use

(4^2+3)/7

then you would get the nearest floating point equivalent to 19/7, 2.71428571428571441259691710001789033412933349609375 which is 3056014032858551/1125899906842624 rather than 19/7

Now compare

M = [1 2 3; 4 5 6; 7 8 10];
inv(M)
inv(sym(M))