Practice question · Match the pairs
Match each object to its role.
- Eigenvector
- Eigenvalue
- Characteristic polynomial
- Eigenspace
- , whose roots are the s
- Direction the matrix only scales
- The scaling factor on that direction
- All eigenvectors sharing one
Hints
- Separate the direction from the factor from the equation that finds them.
- One object is the whole family sharing a single factor.
Show the answer
- Eigenvector → Direction the matrix only scales
- Eigenvalue → The scaling factor on that direction
- Characteristic polynomial → , whose roots are the s
- Eigenspace → All eigenvectors sharing one
Why
Direction, factor, detector, and family, the four nouns of eigen-theory.
Practise Eigenvalues and Eigenvectors
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