Determining Whether a Set Is a Basis In

Chapter 4, Problem 56

(choose chapter or problem)

In Exercises 53–56, determine whether S is a basis for \(R^{3}\). If it is, write u = (8, 3, 8) as a linear combination of the vectors in S.

\(S=\left\{\left(\frac{2}{3}, \frac{5}{2}, 1\right),\left(1, \frac{3}{2}, 0\right),(2,12,6)\right\}\)

Text Transcription:

R^3

S={(2/3 , 5/2 , 1),(1, 3/2 , 0),(2,12,6)}