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MA 2071 A99 Recommended Problems

Section Exercises Topic
1.1 1,5,9,11,15,19,21,23 Linear Systems
1.2 3,5d,7b Matrices
1.3 1c,3,5ab,7,9,13,15,27,29 Matrix Multiplication
1.4 3,9b,11,13a,15,T10a,T17,T23,T27 Properties of Matrix Multiplication
1.5 1,7,9ab,11,15b,19,21,23 Solving Linear Systems
1.6 1,5b,7a,9b,11,13,18,19,T3,T5,T8 Inverse of a Matrix
2.1 11,15a Determinants
3.1 5,11b,13,21ab Vectors in the Plane
3.2 1,13b,15,17,21b,23,T5 Vectors in n Dimensions
3.3 1,3,5,9,11,13,17,21 Linear Transformations
3.6 3,5a,6a,9b,11a,17 Lines and Planes
4.1 1,2,3,5,11,15,17 Vector Spaces
4.2 1,3,5,11,15,17,19,21c Subspaces
4.3 2,5,7,9,11c,14,T1 Linear Independence
4.4 1,5,7,9,11,17,19,21 Bases and Dimension
4.5 1,5,9,11,13,15 Homogeneous Systems
4.6 1,3,5,7,11,13,19,20,21,29 Rank of a Matrix
4.7 2,3,4,7,9,13,19,T1,T2 Change of Basis
4.8 1b,2a,3,5,9,15 Orthonormal Bases
5.1 1,5,7,11,19,23 Diagonalization
5.2 2a,5,9,11,13,17 Diagonalization of Symmetric Matrices

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William W. Farr
8/25/1999