Question 3
Consider set S:
S = {(1, -5, 4), (11, 6, -1), (2, 3, 5)}
Set S is linearly independent true (true or false)
The determinant of the coefficient matrix is zero. So, S spans R3. false (true or false)
S is a basis for the space true (true or false)
(Make sure to show step by step work (proof, counterexample, ...) in your submission)
15 pts