Practice Pseudo-inverse (moore-penrose) (25.15.2) - Solutions of Linear Systems: Existence, Uniqueness, General Form
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Pseudo-Inverse (Moore-Penrose)

Practice - Pseudo-Inverse (Moore-Penrose)

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the purpose of the pseudo-inverse?

💡 Hint: Think about scenarios involving non-square matrices.

Question 2 Easy

Can the pseudo-inverse be calculated for any matrix?

💡 Hint: What about the characteristics of matrix A?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a pseudo-inverse used for?

To find exact solutions
To minimize error
Both of the above

💡 Hint: Consider what the term implies.

Question 2

Is the pseudo-inverse applicable to singular matrices?

True
False

💡 Hint: Think about the characteristics of singular matrices.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a matrix A and vector b. Propose how you would use the pseudo-inverse to solve for x in Ax = b where A is non-square.

💡 Hint: Reference your understanding of SVD and how it reconfigures matrices.

Challenge 2 Hard

Analyze a situation in engineering where you would face a rank deficient matrix. How would the pseudo-inverse aid in your analysis?

💡 Hint: Consider the relationship between data points and their rank.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.