26. Sample Capstone Prompt

Applying Sample Capstone Prompt — Quiz

Test your understanding of applying sample capstone prompt with 5 practice questions.

Practice Questions

Question 1

In a recommendation system, rows of a matrix represent users and columns represent movies. What does the entry $a_{23}$ represent?

Question 2

A vector is used to record the amounts of three ingredients as $v = \begin{bmatrix}4\\0\\7\end{bmatrix}$. What does the second entry mean?

Question 3

In a linear transformation model, what does the product $A x$ usually represent?

Question 4

In a system written as $A x = b$, what does the vector $b$ usually represent in an applied model?

Question 5

Compute $A x$ if $A = \begin{bmatrix}1 & 2\\0 & 1\end{bmatrix}$ and $x = \begin{bmatrix}3\\4\end{bmatrix}$.