Practice Lu Decomposition Method (6.1.1.c) - System of Linear Equations

Practice: LU Decomposition Method

Lesson 6.1.1.cSystem of Linear Equations

Practise this section

10 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define LU Decomposition.
Show hintHide hint
Think about how we can break down a matrix.
Question 2.
What are the two types of matrices involved in LU Decomposition?
Show hintHide hint
Think of the shapes of the matrices.
3Question 3.
What does LU Decomposition do?
- Factors a matrix into its singular values
- Decomposes a matrix into lower and upper matrices
- Solves the matrix using determinants
Show hintHide hint
Think of what LU Decomposition breaks a matrix into.
4Question 4.
True or False: LU Decomposition can only be applied to square matrices.
- True
- False
Show hintHide hint
Consider the shape of matrices that can be decomposed.
Question 5.
Consider the matrix A = [[a, b], [c, d]]. Propose how one might approach LU Decomposition for this general case.
Show hintHide hint
Use the properties of lower and upper triangular matrices.
Question 6.
Given the system of equations represented by a matrix A, identify how changing a single element can affect the LU Decomposition.
Show hintHide hint
Think about how dependent the matrices are on their initial elements.

6 more questions in this section. Enroll free to practise them all.