Math 2331 – Linear Algebra - Department of Mathematics
30
5.1-5.3 Key Exercises Math 2331 – Linear Algebra 5.1-5.3 Eigenvalues & Eigenvectors Key Exercises Jiwen He Department of Mathematics, University of Houston [email protected] math.uh.edu/∼jiwenhe/math2331 Jiwen He, University of Houston Math 2331, Linear Algebra 1 / 30
-
Upload
khangminh22 -
Category
Documents
-
view
0 -
download
0
Transcript of Math 2331 – Linear Algebra - Department of Mathematics
5.1-5.3 Key Exercises
Math 2331 – Linear Algebra5.1-5.3 Eigenvalues & Eigenvectors
Key Exercises
Jiwen He
Department of Mathematics, University of Houston
[email protected]/∼jiwenhe/math2331
Jiwen He, University of Houston Math 2331, Linear Algebra 1 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
5.1 Eigenvectors & Eigenvalues
Key Exercises 21–27, 29–33
Key Exercises: 21–27, 29–33.
Jiwen He, University of Houston Math 2331, Linear Algebra 2 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
A is an n × n matrix. Mark each statement True or False. Justifyeach answer.
Jiwen He, University of Houston Math 2331, Linear Algebra 3 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
A is an n × n matrix. Mark each statement True or False. Justifyeach answer.
Jiwen He, University of Houston Math 2331, Linear Algebra 4 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 5 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 6 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 7 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 8 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 9 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 10 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 11 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 12 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
5.2 The Characteristic Equation
Key Exercises 19–24
Key Exercises: 19–24.
Jiwen He, University of Houston Math 2331, Linear Algebra 13 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 14 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 15 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
A and B are n × n matrices. Mark each statement True or False.Justify each answer.
Jiwen He, University of Houston Math 2331, Linear Algebra 16 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
A is n× n matrix. Mark each statement True or False. Justify eachanswer.
Jiwen He, University of Houston Math 2331, Linear Algebra 17 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 18 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 19 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
5.3 Diagonalization
Key Exercises 21–28, 31–32
Key Exercises: 21–28, 31–32.
Jiwen He, University of Houston Math 2331, Linear Algebra 20 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
A, P and D are n × n matrices. Mark each statement True orFalse. Justify each answer.
Jiwen He, University of Houston Math 2331, Linear Algebra 21 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
A, P and D are n × n matrices. Mark each statement True orFalse. Justify each answer.
Jiwen He, University of Houston Math 2331, Linear Algebra 22 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 23 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 24 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 25 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 26 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 27 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 28 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 29 / 30
5.1-5.3 Key Exercises 5.1: 21–32 5.2: 19–24 5.3: 21–32
Jiwen He, University of Houston Math 2331, Linear Algebra 30 / 30
