2. Consider the linear transformation from R3 to R3 given by 1 1 2 -2 1 3 0 T() T. 0 3 Let I be the parallelepiped (3 pa
Posted: Thu May 12, 2022 9:24 am
2. Consider the linear transformation from R3 to R3 given by 1 1 2 -2 1 3 0 T() T. 0 3 Let I be the parallelepiped (3 parallelotope) defined by vectors 1 2. (a) Find the volume (3-volume) of N. (b) Find the volume (3-volume) of T(12). volume of 12 (c) Calculate the expansion factor by calculating volume of T(2) (d) Verify that the absolute value of the determinant is equal to the expansion factor.