1. Mathematics
2. Algebra
3. Linear Algebra
4. 26591

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Please help me solve the following linear algebra questions involving linear transformation and matrices. (see attached)

? Let and let . Define a map by sending a vector to .

a) let and be the standard basis vectors of V. let , and be the standard basis vectors of W. Find the matrix of T with respect to these bases of V and of W.
b) let and . Prove that form a basis of V and find the matrix of T with respect to the bases of V and of W.
c) let . Show that form a basis of W. Find the matrix of T with respect to the bases of V and of W.

? Let and let be the linear transformation given by

find the matrix A of T with respect to the standard basis

of both V and W.