a. Show that the line through vectors p and q in R may be written in the
Question:
a. Show that the line through vectors p and q in R" may be written in the parametric form x = (1 - 1)p + tq.
b. The line segment from p to q is the set of points of the form (1- t)p + tq for 0 ≤ t ≤ 1 (as shown in the figure below). Show that a linear transformation T maps this line segment onto a line segment or onto a single point.
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a The line through p and q is in the direction of q p and so the equation of the line ...View the full answer
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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