The eigenvalues are the same, the determinant is the same, similarity is a contract, and the sum of the main diagonals of the two matrices is the same. If the matrices are similar, they represent the same linear transformation in different coordinate systems (bases).

That is, AP=PB, where AP is expressed in natural Cartesian coordinate system, so there is an e in front. That is, it should be EAP=PB, that is, EA is the coordinate in Cartesian coordinate system and P is the transfer matrix.

introduce

In mathematics, a matrix is a group of complex numbers or real numbers arranged in a rectangular array, which originated from a square matrix composed of coefficients and constants of equations. This concept was first put forward by British mathematician Kelly in19th century.

Matrix is a common tool in applied mathematics such as advanced algebra and statistical analysis. In physics, matrices have applications in circuit science, mechanics, optics and quantum physics.