Chapter 1.8, Problem 27E

(a)

To determine

To show:

That the line through vectors p and q in ${ℝ}^n$ may be written in the parametric form $\text{x}=\left(1-t\right)\text{p}+t\text{q}$.

(b)

To determine

To show:

That a linear transformation T maps the line segment shown in problem onto a line segment or onto a single point.