7. Span, Linear Independence, Basis, and Dimension

Determining Whether Vectors Span A Space — Quiz

Test your understanding of determining whether vectors span a space with 5 practice questions.

Practice Questions

Question 1

Do the vectors $(1,0)$ and $(0,1)$ span $\mathbb{R}^2$?

Question 2

Do the vectors $(1,2)$ and $(2,4)$ span $\mathbb{R}^2$?

Question 3

Can two vectors span $\mathbb{R}^3$?

Question 4

Do the vectors $(1,0,0)$, $(0,1,0)$, and $(0,0,1)$ span $\mathbb{R}^3$?

Question 5

Do the vectors $(1,0,0)$ and $(0,1,0)$ span $\mathbb{R}^3$?