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Review

Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

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Page 1: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Review

Page 2: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

5.1 T&F

Page 3: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

5.1

Page 4: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

5.2

Page 5: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

5.2

Page 6: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

5.3 T&F

Page 7: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

5.3

Page 8: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 5 review

Page 9: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-1

Page 10: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-2

• T&F

How to check one-to-one

Page 11: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-3

• T&F

Page 12: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-3

• Find Basis

Page 13: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-4

• T&F

Page 14: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-5

1. 𝑢, 𝑢 > 0 if 𝑢 ≠ 0

2. 𝑢, 𝑣 = 𝑣, 𝑢

4. 𝑎𝑢, 𝑣 = 𝑎 𝑢, 𝑣

3. 𝑢 + 𝑣,𝑤 = 𝑢,𝑤 + 𝑣,𝑤

Page 15: Review - 國立臺灣大學speech.ee.ntu.edu.tw/~tlkagk/courses/LA_2016... · If v is an eigenvector Of a matrix A, then cv is also an eigenvector for any nonzero scalar c, If A and

Chapter 6-5

1. 𝒖, 𝒖 > 𝟎 if 𝒖 ≠ 𝟎

2. 𝒖, 𝒗 = 𝒗, 𝒖

4. 𝒂𝒖, 𝒗 = 𝒂 𝒖, 𝒗

3. 𝒖 + 𝒗,𝒘 = 𝒖,𝒘 + 𝒗,𝒘