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Linear Algebra for Science and Engineering
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36
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431
Last updated
05-08-2022
Complete Student value edition
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36
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Vector spaces over C
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The correlation coefficient
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7
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Systems of Linear Equations and Elimination
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Span, subspaces and dimension
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Spaces of polynomials
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Quadratic forms
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Properties of dot products
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Projections and the gram-Schmidt procedure
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13
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Projections and minimum distance
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Orthonormal bases and orthogonal matrices
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Operations on matrices
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Method of least squares
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Matrix of a linear mapping
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Matrix mappings and linear mappings
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Matrix inverse by cofactors and Cramer's rule
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Length and dot products
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Isomorphisms of vector spaces
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Inverse matrices and inverse mappings
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Inner products in complex vector spaces
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Inner product spaces
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10
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Hermitian matrices and unitary diagonalization
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Graphs of quadratic forms
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12
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Geometrical transformations
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10
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General linear mappings
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Fourier Series
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Elementary matrices
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Eigenvectors in complex vector spaces
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Eigenvalues and eigenvectors
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Diagonalization
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Diagonalization of symmetric matrices
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11
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Diagonalization and differential equations
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Cross Products and Volumes
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15
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Complex numbers
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16
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Bases and dimensions
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16
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Area, Volume and the Determinant
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Applications of quadratic forms
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Subjects
- Vector
- Spaces
- Vector spaces
- Linear mappings
- Subspaces
- Matrix mapping
- Complex multiplication
- Conceptual problems
- Correlation
- Coefficient
- Linear algebra
- Systems
- Linear
- Equations
- Elimination
- Linear equations
- Span
- Subspaces
- Dimension
- Subspaces and dimension
- Spaces
- Polynomials
- Spaces of polynomials
- Quadratic
- Forms
- Quadratic forms
- Properties
- Dot
- Products
- Dot products
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