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Appendix B Exercises
0.1 Sets
0.2 Functions
0.4 Logic
0.6 Complex numbers
0.7 Polynomials
1.1 Vector space structure of \(\R^n\)
2.1 Systems of linear equations
2.2 Gaussian elimination
2.3 Solving linear systems
3.1 Matrix arithmetic
3.2 Matrix algebra
3.3 Invertible matrices
3.4 The invertibility theorem
3.5 The determinant
4.1 Subspaces
4.2 Span and linear independence
4.3 Bases
4.4 Dimension
4.5 Fundamental spaces
5.1 Linear transformations
5.2 Null space, image, and isomophisms
5.3 Coordinate vectors
5.4 Matrix representations of linear transformations
5.5 Change of basis
6.1 Eigenvectors and eigenvalues
6.2 Diagonalization
7.1 Inner product spaces
7.2 Orthogonal bases
7.3 Orthogonal projection
7.4 The spectral theorem
