What is the meaning of the '~' operator in matrices?

[sana verma]

plyz tel me wat is the meaning of the operator'~' if it is used over A where A is a matrix?thanks in advance

 

[Dmitrij]

Re: matrices

As far as I remember, we say that A is like B (A~B), if the following expression is true:

A = inv(U)*B*U,

where U - arbitrary matrix with non-zero determinant (otherwise, you won't manage to find inverse matrix)

As you see, the value of determinants of A anb B is absolutely the same (according to the properties of determinants)

Such matrices are used when transmitting from one basis to the other in a given linear space.

With respect,

Dmitrij

 

[taitsoft]

Re: matrices

[Deleted]

 

[Dmitrij]

Re: matrices

As far as I know the operation of transposing is usually marked by ' . It means, that if you want to write the transposed matrix, you use the following notation:

B = A';

As it was correctly pointed, auxiliary information is required in order to give you the right asnwer. Otherwise all the numerous predictions may turn out to be useless and wrong.

With respect,

Dmitrij