Question 1
A part of a graph where every vertex can reach every other vertex
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Key Idea
If you count connected components, you learn how many separate "islands" the graph has, and a single added edge can merge two components into one.
Mathematics Quiz
Why is something true?
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Question 2
What assigns a nonnegative size to each vector?
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Key Idea
Different norms can measure the same vector space in very different ways, for example the $\ell^1$ norm sums coordinates while the $\ell^2$ norm gives the usual Euclidean length.
Question 3
This image question appears in the interactive quiz.
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Key Idea
A matrix organizes numbers so rows and columns can represent transformations or data.
Question 4
This image question appears in the interactive quiz.
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Key Idea
A cycle is a route that returns to where it began without loose ends.
Question 5
What means an operation never leaves the set it is defined on?
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Key Idea
Closure is what makes a subset like $2\mathbb{Z}$ a world of its own under addition, but it fails under division since $2/4$ leaves the set.
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