CPE 332 Computer Engineering Mathematics II Week 3

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CPE 332 Computer Engineering Mathematics II Week 3: Ch. 2 Matrices Continue Ch. 3

CPE 332 Computer Engineering Mathematics II Week 3: Ch. 2 Matrices Continue Ch. 3 Eigenvector

Today Topics • • • Part I Chapt. 2 Matrices Break Chapter 2: Linear

Today Topics • • • Part I Chapt. 2 Matrices Break Chapter 2: Linear Equations Homework 1: Due Homework 2 สงสปดาหหนา

Determinant

Determinant

Calculation of Determinant

Calculation of Determinant

Calculation of Determinant Complexity = O(n!)

Calculation of Determinant Complexity = O(n!)

การหา Determinant

การหา Determinant

การหา Determinant

การหา Determinant

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Inverse of Matrix

Matrix Norms

Matrix Norms

Norms ����� Spectral Radius ��� X

Norms ����� Spectral Radius ��� X

System of Linear Equations

System of Linear Equations

System of Linear Equations

System of Linear Equations

Reduced Matrix

Reduced Matrix

Reduced Matrix

Reduced Matrix

Reduced Matrix

Reduced Matrix

Solutions of Homogeneous

Solutions of Homogeneous

Solutions of Homogeneous

Solutions of Homogeneous

Solutions of Homogeneous

Solutions of Homogeneous

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

Non-homogeneous Systems

MATLAB TUTORIAL I-V • See Course Notes • ตอไปนจะสาธตการใชงาน ขนตน MATLAB – อางองจาก Course

MATLAB TUTORIAL I-V • See Course Notes • ตอไปนจะสาธตการใชงาน ขนตน MATLAB – อางองจาก Course Notes ใน MATLAB Tutorial I-V • MATLAB Interface • Variable คำสงพนฐาน Operations • Vector and Matrix Calculations • Graph Plotting • Scratch Files and Function Files

End of Week 3 • Download HW 2 Due Next Week • Next Week

End of Week 3 • Download HW 2 Due Next Week • Next Week Homework 2 Due – Chapter 3: Eigenvector & Diagonalization