Introduction

You Will Know

• topic1

Why Should You Learn These

Contents

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1. Diagonal Matrix (대각행렬)

2. Eigenvalue and Eigenvector

3. Calculation of Eigenvalue

4. Diagonalization and Similarity Matrix

5. Eigenspace

6. Multiplicity of eigenvalue

7. Cayley-Hamilton Theorem

8. Jordan Canonical Form (요르단 표준형)

Conclusions

References

• link1

Further Readings

• a further reading for topic 1

Note

• $A, B$는 $n \times n$ 정사각행렬이고, $P$는 가역행렬일때 아래사항 확인
  • $B = P^{-1}AP$ 일때, $A \sim B$
    • $P$가 직교행렬이면, B는 A에 직교닮음
  • $D=P^{-1}AP$ 일때, $P$는 $A$를 직교대각화. $A^T=A$ 를 만족해야 함