Author | Harville, David A. author |
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Title | Matrix Algebra: Exercises and Solutions [electronic resource] / by David A. Harville |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-0181-3 |
Descript | XV, 271 p. 1 illus. online resource |
1 Matrices -- 2 Submatrices and Partitioned Matrices -- 3 Linear Dependence and Independence -- 4 Linear Spaces: Rowand Column Spaces -- 5 Trace of a (Square) Matrix -- 6 Geometrical Considerations -- 7 Linear Systems : Consistency and Compatibility -- 8 Inverse Matrices -- 9 Generalized Inverses -- 10 Idempotent Matrices -- 11 Linear Systems: Solutions -- 12 Projections and Projection Matrices -- 13 Determinants -- 14 Linear, Bilinear, and Quadratic Forms -- 15 Matrix Differentiation -- 16 Kronecker Products and the Vec and Vech Operators -- 17 Intersections and Sums of Subspaces -- 18 Sums (and Differences) of Matrices -- 19 Minimization of a Second-Degree Polynomial (in n Variables) Subject to Linear Constraints -- 20 The Moore-Penrose Inverse -- 21 Eigenvalues and Eigenvectors -- 22 Linear Transformations -- References