Matrix symbolic calculation doesn't simplify expressions

When using syms in matrix, after matrix multipication I get expressions like that:

>> A5(3,3)
 
ans =
 
- (2^(1/2)*((2^(1/2)*w*1i)/2 - 2^(1/2)/8))/2 + (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2

(w is symbolic var)

While this entire cell is equal to 1/8

Is there any configuration I can change to make it more readable?

[KALYAN ACHARJYA]

Have you tried with vpa?

[Ohad Shapira]

Yes I did, the problem is that some times I get 1/sqrt(2) and vpa gives me a long decimal number.

(The results from this code will be used for manual calculations in furter steps)

Answer 1

[Stephan]

try simplify - here is an example with your expression:

syms w
E = eye(3) * - (2^(1/2)*((2^(1/2)*w*1i)/2 - 2^(1/2)/8))/2 + (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2
Simple_E = simplify(E)

gives:

E =
 
[ - (2^(1/2)*((2^(1/2)*w*1i)/2 - 2^(1/2)/8))/2 + (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2,                                                (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2,                                                (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2]
[                                                (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2, - (2^(1/2)*((2^(1/2)*w*1i)/2 - 2^(1/2)/8))/2 + (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2,                                                (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2]
[                                                (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2,                                                (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2, - (2^(1/2)*((2^(1/2)*w*1i)/2 - 2^(1/2)/8))/2 + (2^(1/2)*((2^(1/2)*w*1i)/2 + 2^(1/2)/8))/2]
 
 
Simple_E =
 
[            1/4, (w*1i)/2 + 1/8, (w*1i)/2 + 1/8]
[ (w*1i)/2 + 1/8,            1/4, (w*1i)/2 + 1/8]
[ (w*1i)/2 + 1/8, (w*1i)/2 + 1/8,            1/4]

[Ohad Shapira]

Worked! thanks!