22.5 - Rank of Special Matrices
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.
Practice Questions
Test your understanding with targeted questions
What is the rank of a zero matrix of size 4x4?
💡 Hint: Think about how many independent rows there are.
What is the rank of the identity matrix of size 3?
💡 Hint: Recall the definition of an identity matrix.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the rank of a zero matrix?
💡 Hint: Remember what elements make up a zero matrix.
True or False: The rank of an identity matrix is always less than its order.
💡 Hint: Consider the properties of identity matrices.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a diagonal matrix D = [0 0 7; 0 8 0; 9 0 0], determine its rank and explain why.
💡 Hint: Count all non-zero values on the diagonal.
For an upper triangular matrix U = [3 5 0; 0 0 0; 1 4 0], calculate the rank and justify your reasoning.
💡 Hint: Only consider rows that have at least one non-zero element.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.