Practice Pseudo-Inverse (Moore-Penrose) - 25.15.2 | 25. Solutions of Linear Systems: Existence, Uniqueness, General Form | Mathematics (Civil Engineering -1)
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Practice Questions

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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?

Practice 4 more questions and get performance evaluation

Interactive Quizzes

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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.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation