fixed non-zero vector. 2. Let T : R" - R" be a linear transformation with matrix A (of size n x n). Assuming det(A) # 0, show that T sends straight lines to straight lines. [Hint: recall that a straight line in R" is a subset L of the form L = {ptadER}, where a E R" is a non-zero vector, and p E R" is the position vector of some point P E L.]