Does it need to be an interpolation function? What does "smaller and simpler" mean? You can have e.g. only one interpolating polynomial of higher degree if you want (but I do not think it is a good idea).

You have 9 equations with 9 unknown variables, so I don't know where the problem is. Anyway, it would be better if you could post it in a better format (e.g. for others to be able to copy/paste it and work with it).

OK, thank you. I wanted to know if there is some command (for this) already implemented in Maple.

OK, thank you. I wanted to know if there is some command (for this) already implemented in Maple.

No, you don't need them. :) I mean, it's true that the diagonal matrix consists of eigenvalues and P is a matrix of eigenvectors,

but for the transformation of a symetric matrix A into the diagonal D you can do "only" some operations with rows and columns of A

and you don't need to know anything about eigenvectors and eigenvalues.

I'm asking if there is a command for this transformation which doesn't need the eigenvalues because we learn the transformation

of a symetric matrix into a diagonal one before learning about eigenvalues (in the Linear Algebra course).

No, you don't need them. :) I mean, it's true that the diagonal matrix consists of eigenvalues and P is a matrix of eigenvectors,

but for the transformation of a symetric matrix A into the diagonal D you can do "only" some operations with rows and columns of A

and you don't need to know anything about eigenvectors and eigenvalues.

I'm asking if there is a command for this transformation which doesn't need the eigenvalues because we learn the transformation

of a symetric matrix into a diagonal one before learning about eigenvalues (in the Linear Algebra course).

Sorry, I haven't expressed it precisely. I would like to diagonalise a symetric matrix.

For this type of matrices you don't need the eigenvalues end eigenvectors

and it holds that A = (P^T)*D*P for appropriate P, where D is diagonal.

Sorry, I haven't expressed it precisely. I would like to diagonalise a symetric matrix.

For this type of matrices you don't need the eigenvalues end eigenvectors

and it holds that A = (P^T)*D*P for appropriate P, where D is diagonal.

When you use the entry 

use RealDomain in solve(sin(x)=cos(x),x,AllSolutions) end use;
you really obtain mentioned error message.

When you try this:

use RealDomain in solve(sin(x)=cos(x),AllSolutions) end use;

Maple returns nothing (like when it has no solution). That is another thing

which I don't like, and it is not related only to solve command. When there

is no solution, it would be better if Maple could return something like "{}", "no solution", etc.

Thank you both,

option "axes=frame" works great.

Thank you both,

option "axes=frame" works great.

Wow, thanks for such long comment, I'll try to go through this.

Jarekkk

Wow, thanks for such long comment, I'll try to go through this.

Jarekkk