3. Matrix Methods for Systems

Lu-style Computational Thinking (introductory) — Quiz

Test your understanding of lu-style computational thinking (introductory) with 5 practice questions.

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Practice Questions

Question 1

In an $LU$ factorization, how is a matrix $A$ written?

Question 2

What is true about $L$ in a standard $LU$ factorization without row swaps?

Question 3

What is the shape of $U$ in a standard $LU$ factorization?

Question 4

When solving $Ax=b$ using $A=LU$, which system is usually solved first?

Question 5

Suppose the matrix $\begin{pmatrix}2 & 1 \\ 6 & 5\end{pmatrix}$ is being eliminated below the first pivot $2$. What multiplier is used to eliminate the $6$?