Determine the matrix that corresponds to the quadratic form and classify the quadratic form: -20x²44x2 - 4x + 8x12 - 14x13 + 12*2*3 tondando

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the concepts below only

 

Chapter 1 Linear Equations in Linear Algebra

 

1-1 Systems of Linear Equations 

1-2 Row Reduction and Echelon Forms

1-3 Vector Equations 

1-4 The Matrix Equation Ax = b 

1-5 Solution Sets of Linear Systems

1-6 Applications of Linear Systems

1-7 Linear Independence 

1-8 Introduction to Linear Transformations

1-9 The Matrix of a Linear Transformation 

 

Chapter 2 Matrix Algebra

 

2-1 Matrix Operations 

2-2 The Inverse of a Matrix 

2-3 Characterizations of Invertible Matrices

2-4 Partitioned Matrices 

2-5 Matrix Factorizations 

2-6 The Leontief Input-Output Model 

2-7 Applications to Computer Graphics

 

Chapter 3 Determinants

 

3-1 Introduction to Determinants 172

3-2 Properties of Determinants 179

3-3 Cramer's Rule, Volume, and Linear Transformations

 

Chapter 4 Vector Spaces

 

4-1 Vector Spaces and Subspaces

4-2 Null Spaces, Column Spaces, Row Spaces, and Linear Transformations 

4-3 Linearly Independent Sets; Bases

4-4 Coordinate Systems

4-5 The Dimension of a vector space

4-6 Change of Basis

4-7 Digital Signal Processing

4-8 Applications to Difference Equations

 

Chapter 5 Eigenvalues and Eigenvectors

 

5-1 Eigenvalues and Eigenvectors

5-2 The Characteristic Equation

5-3 Diaganolization

5-4 Eigenvectors. And Linear Transformation

5-5 Complex Eigenvalues

5-6 Discrete Dynamical Systems

 

Chapter 6 Orthogonality and Least Squares

 

6.1 Inner Product, Length, and Orthogonality

6.2 Orthogonal Sets 

6.3 Orthogonal Projections 

6.4 The Gram-Schmidt Process 

6.5 Least-Squares Problems 

6.7 Inner Product Spaces 

6.8 Applications of Inner product Spaces

 

Chapter 7 Symmetric Matrices and Quadratic Forms

 

7.1 Diagonalization of Symmetric Matrices

7.2 Quadratic Forms

7.3 Constrained Optimization

7.4 The Singular Value Decomposition

7.5 Applications to Image Processing and Statistic

Determine the matrix that corresponds to the quadratic form and classify the quadratic form:
-20x²44x2 - 4x + 8x122-14x13 + 12x23
tondando
Transcribed Image Text:Determine the matrix that corresponds to the quadratic form and classify the quadratic form: -20x²44x2 - 4x + 8x122-14x13 + 12x23 tondando
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