(Solution Library) (a) Draw the collection of all unit vectors in R^2. (b) Let S_x=(l1 , 0), x, where x is a unit vector in R^2. For which x is S_x a basis
Question: (a) Draw the collection of all unit vectors in \(\mathbb{R}^{2}\).
(b) Let \(S_{x}=\left\{\left(\begin{array}{l}1 \\ 0\end{array}\right), x\right\}\), where \(x\) is a unit vector in \(\mathbb{R}^{2}\). For which \(x\) is \(S_{x}\) a basis of \(\mathbb{R}^{2} ?\)
(c) Generalize to \(\mathbb{R}^{n}\).
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![[Solution] Vectors are objects that you can](/images/solutions/MC-solution-library-73283.jpg "[Solution] Vectors are objects that you can add together; show that")
[Solution] Vectors are objects that you can add together; show that
![[Solution Library] (a) What does the matrix](/images/solutions/MC-solution-library-73284.jpg "[Solution Library] (a) What does the matrix E_2^1=(ll0 1 , 1 0)")
[Solution Library] (a) What does the matrix E_2^1=(ll0 1 , 1 0)
(See) Calculate the determinant below by factoring the matrix
![[All Steps] Let M=(lla b , c](/images/solutions/MC-solution-library-73286.jpg "[All Steps] Let M=(lla b , c d). Show: det; M=1/2(tr; M)^2-1/2 tr;(M^2)")
[All Steps] Let M=(lla b , c d). Show: det; M=1/2(tr; M)^2-1/2 tr;(M^2)
(All Steps) Suppose M=L U is an LU decomposition. Explain how
Midpoint Formula - MathCracker.com