Need Help?

  • Notes
  • Comments & Questions

a) Describe span of $$(x, y),$$ Where $$x=\left(\begin{array}{l}{1} \\ {5}\end{array}\right), y=\left(\begin{array}{l}{0} \\ {3}\end{array}\right)$$

$$span(x, y)=\{\lambda x+\mu y | \lambda, \mu \in R\}=\left\{\lambda\left(\begin{array}{c}{0} \\ {3}\end{array}\right)+\mu \left(\begin{array}{c}{0} \\ {3}\end{array}\right) | \lambda, \mu \in R\right\} $$

$$=\left\{\left(\begin{array}{cc}{\lambda} \\ {5 \lambda+3 \mu}\end{array}\right) | \lambda, \mu \in R\right\} $$

b) Describe span of $$(x, y),$$ Where $$x=\left(\begin{array}{l}{1} \\ {5} \\ {0}\end{array}\right), y=\left(\begin{array}{l}{0} \\ {3} \\ {0}\end{array}\right)$$

$$span(x, y)=\{\lambda x+\mu y | \lambda, \mu \in R\}=\left\{\lambda\left(\begin{array}{l}{1} \\ {5} \\ {0}\end{array}\right)+\mu\left(\begin{array}{l}{0} \\ {3} \\ {0}\end{array}\right) | \lambda, \mu \in R\right\} $$

$$=\left[\left(\begin{array}{c}{\lambda} \\ {5 \lambda+3 \mu} \\ {0}\end{array}\right) | \lambda, \mu \in R\right\} $$

No comments yet

Join the conversation

Join Notatee Today!