7. Span, Linear Independence, Basis, and Dimension

Linear Combinations — Quiz

Test your understanding of linear combinations with 5 practice questions.

Practice Questions

Question 1

Which statement best describes a linear combination of vectors?

Question 2

What is $2(1,0)+3(0,1)$?

Question 3

If $u=(2,-1)$, what is $-3u$?

Question 4

Which values of $a$ and $b$ satisfy $a(2,1)+b(1,-4)=(7,-1)$?

Question 5

A vector is in the span of a set of vectors if it can be written as what?