[SOLVED] MAT350 4.10 MATLAB: Change of Coordinates

 MAT350 4.10 MATLAB: Change of Coordinates

In this activity you will find the change of coordinates matrix from one basis to another basis.

Consider these two ordered sets of vectors, each a basis for.

Each basis can be represented by a matrix whose columns are the vectors in the basis.

B = {[2 ] , [ -4]}    C = { [4 ] , [2 ] }

-4      -6              -1     3

To find the change of coordinates matrix from basis B to basis C, set up the augmented

matrix [C | B].

augCB = [C B]

Row reduce the augmented matrix to get [I | P_BtoC].

temp = rref(augCB)

The change of coordinates matrix from basis B to basis C is the matrix that appears to the right of the identity matrix in the augmented matrix.

P_BtoC = temp(:,3:4)

Utilize the following ordered sets of vectors, each which represents a basis for, for this activity.

1