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Understand how the possibility to form a complete basis of eigenvectors depends on whether the matrix is defective or not. With proofs, examples and solved exercises.
Let Ax = y, x ∈ R , b ∈ R be a linear inhomogeneous system
Linear Independence of Eigenvectors
Eigenvectors and linear independence
Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra [2. print ed.] 0306375087, 9780306375088
How to know if eigenvectors are linearly independent - Quora
Linear Dependence and Independence of Vectors, PDF
SOLUTION: Sst revision materials - Studypool
SOLVED: Consider the set S = x, (T1,T2) ∈ R^2
PPT - Ch 7.3: Systems of Linear Equations, Linear Independence