## MA 2071 A00 Recommended Problems

Note: The ``T'' problems are theoretical problems. Working these problems will be very beneficial to your understanding of the subject. However, they will not be chosen for grading.

 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 1,3,11,13,19,20,21,29 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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