### MA 2071 A01 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 1,3,7,13,17,19 Linear Systems 1.2 4ac,6b,7a Matrices 1.3 1b,3,5a,7,9,13,15,20a,T.1 Matrix Multiplication 1.4 8ab,10,15,T.8,T.18 Properties of Matrix Multiplication 1.5 1,6,13,15,21,23 Solving Linear Systems 1.6 1,5ab,7c,13 Inverse of a Matrix 3.1 11,13 Determinants 4.1 3,5c,9a,11b,13,19ab,21cd,26 Vectors in the Plane 4.2 1a,3a,8ab,9,11ac,13a,15,21a,27a,T.5 Vectors in Dimensions 4.3 1,5,13,14a,17 Linear Transformations 5.3 3,5b,9a,15,17 Lines and Planes 6.1 1,3,11,15 Vector Spaces 6.2 1,3,5,13a Subspaces 6.3 1ab,4bc,7,12ac Linear Independence 6.4 1ab,4b,7,9a,17,19,21 Bases and Dimension 6.5 3,5,11,13,17 Homogeneous Systems 6.6 1,5a,9,13,16,17,19 Rank of a Matrix 6.7 1,3,5,7,9,13,20 Change of Basis 6.8 1a,3,5,7 Orthonormal Bases 8.1 1,3,7,9 Eigenvalues and eigenvectors 8.2 1,5,9,14 Diagonalization 8.3 1,5 Diagonalization of Symmetric Matrices

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