Solution Found!
Determine which sets in Exercises are bases for 2 or 3.
Chapter 2, Problem 15E(choose chapter or problem)
QUESTION:
Determine which sets in Exercises 15–20 are bases for \(\mathbb{R}^{2}\) or \(\mathbb{R}^{3}\). Justify each answer.
\(\left[\begin{array}{r} 5 \\ -2 \end{array}\right],\left[\begin{array}{r} 10 \\ -3 \end{array}\right]\)
Questions & Answers
QUESTION:
Determine which sets in Exercises 15–20 are bases for \(\mathbb{R}^{2}\) or \(\mathbb{R}^{3}\). Justify each answer.
\(\left[\begin{array}{r} 5 \\ -2 \end{array}\right],\left[\begin{array}{r} 10 \\ -3 \end{array}\right]\)
ANSWER:Solution:-Step1Given that Step2To findDetermine which sets in Exercises are bases for 2 or 3. Justify each answer.Step3We have Let A be the matrix formed b