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
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