EXAM 4 2026 COMPREHENSIVE LINEAR
ALGEBRA QUESTIONS AND SOLUTIONS
VERIFIED
◉ False. Answer: The points in the plane corresponding to [-2, 5]
and [-5, 2] lie on a line through the origin
◉ True. Answer: An example of a linear combination of vectors v1
and v2 is 1/2v1
◉ True. Answer: The solution set of the linear system whose
augmented matrix [a1 a2 a3 b] is the same as a solution set of the
equation x1a1 + x2a2 + x3a3 = b
◉ False. Answer: The set span {u, v} is always visualized as a plain
through origin
◉ True. Answer: Any list of five real numbers is a vector in R5
◉ True. Answer: The vector u results when u-v is added to v