Determine if Matrix is Diagonalizable from Rank | Linear Algebra Exercises
We go over how to determine if a square matrix A is diagonalizable by finding the ranks of the matrices λI-A for each eigenvalue λ. Each rank will tell us the nullity, and hence the dimension of the corresponding eigenspace which allows us to count the linearly independent eigenvectors and determine the diagonalizability with ease. #linearalgebra
Diagonalizing a Matrix: • Diagonalizing Matrices and Diagonaliz...
Eigenspaces and their Bases: • Eigenspaces and their Bases | Linear ...
Linear Algebra course: • Linear Algebra
Linear Algebra exercises: • Linear Algebra Exercises
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0:00 Intro
1:06 Rank of λI-A
2:08 Nullity of λI-A
2:52 Counting Eigenvectors
3:22 Conclusion
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