# Science:Math Exam Resources/Courses/MATH152/April 2011/Question B 04 (b)/Solution 1

From UBC Wiki

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.*

*and*

*which is indeed the same result.*