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3 cards from this section. Quick, good the night before a test.
What is the definition of an eigenvalue?
Think of the transformation of vectors.
How do you find eigenvalues for a matrix?
Calculate the determinant and set it to zero.
What does an eigenvalue represent?
Think about what happens when a vector is transformed.
The equation Av = λv is used to define which concept?
Recall the definition of eigenvalues and eigenvectors.
Given the matrix B = [[5, 4], [0, 2]], find its eigenvalues and eigenvectors, and discuss its diagonalizability.
Start with the characteristic equation.
Consider the matrix C = [[1, 1], [0, 1]]. Investigate if it's diagonalizable and explain why or why not.
Check the multiplicities!
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