Science:Math Exam Resources/Courses/MATH152/April 2011/Question B 04 (b)/Solution 1
The columns of a linear transformation matrix, A, are populated by the transformed vectors of each of the basis vectors. In this case the first column of A will be , the second, , and the third, . By computing these cross products, we get,
Therefore the linear transformation matrix A which corresponds to T is,
Notice if we wanted some sort of confirmation of our answer we can pick a random vector, say x=[3,4,7], compute and compute Ax and make sure they are the same thing.
which is indeed the same result.