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Family 5
Eigenvalues: shortcut & full
These 2 topics share one solution. Spot the family, apply the method — same trick, different story.
How to spot this family
- Eigenvectors, trace & determinant："v and w are eigenvectors ... with the same eigenvalue"(3a) · "...whose eigenvalues sum to zero"(3b,先想清正的是哪个) · 给特征向量求 λ → tr 求第三个 → det
- Eigenvalues, eigenspaces & diagonalisability："find all eigenvalues ... a basis for each eigenspace" · "is A diagonalisable?" · 给 3×3 从零开始:特征多项式 → 特征空间 → 判可对角化
Topics in this family
Topic 3New
Eigenvectors, trace & determinant
49
Topic 15New
Eigenvalues, eigenspaces & diagonalisability
10
Related knowledge points
The concepts behind this family's method — brush up first if unsure.