Solved: Linear Combinations In Exercises 14, write each vector as a linear combination

Chapter 4, Problem 4

(choose chapter or problem)

In Exercises 1–4, write each vector as a linear combination of the vectors in S (if possible).

S = {(6, −7, 8, 6), (4, 6, −4, 1)}

(a) u = (2, 19, −16, −4)

(b) \(\mathbf{v}=\left(\frac{49}{2}, \frac{99}{4},-14, \frac{19}{2}\right)\)

(c) \(\mathbf{w}=\left(-4,-14, \frac{27}{2}, \frac{53}{8}\right)\) 

(d) \(\mathbf{w}=\left(-4,-14, \frac{27}{2}, \frac{53}{8}\right)\)

Text Transcription:

mathbf v =(49/2, 99/4,-14, 19/2)

mathbf w =(-4,-14, 27/2, 53/8)

mathbf w =(-4,-14, 27/2, 53/8)