Matrix having Surds values.

[akerkarprashant]

Surds - Google Search

Can we compute inverse of a Matrix having Surds values?

Example : 2*2 matrix having values as 2√3, 3√2, 4√3, 5√2

Thanks & Regards,

Prashant S Akerkar

 

[albbg]

Yes, of course if the matrix is invertible, i.e. determinant <> 0

In your case (I suppose you mean a11=2√3, a12=3√2, a21=4√3, a22=5√2) determinant = -2√6 then the matrix is invertible obtaining:

(-1/2√6)*[ 5√2, -3√2; -4√3, 2√3]

 

[Prashantakerkar]

Thank you.

Is it possible to compute the inverse of a matrix 3*3, 4*4, 5*5,6*6,7*7,8*8.

Lets take a example of a Chess board which is 8*8 matrix.

Can we compute the inverse of a 8*8 matrix?

Thanks & Regards,
Prashant S Akerkar

 

[albbg]

yes, you can compute the inverse of a square matrix regardless its dimension if it is invertible, that is having a determinant <> 0