Determine whether the given functions are linearly dependent or linearly independent.
f1(t) = 4t − 7, f2(t) = t2 + 1, f3(t) = 6t2 − t, f4(t) = t2 + t + 1
linearly dependentlinearly independent
If they are linearly dependent, find a linear relation among them.
(Use f1 for f1(t),
f2 for f2(t),
f3 for f3(t), and
f4 for f4(t).
Enter your answer in terms of f1,
f2, f3, and
f4. If the system is independent, enter
INDEPENDENT.)
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