1	MATRICES AND SYSTEMS OF EQUATIONS 1
	1	SYSTEMS OF LINEAR EQUATIONS 1
	2	ROW ECHELON FORM 13
	3	MATRIX ALGEBRA 31
	4	ELEMENTARY MATRICES 57
	5	PARTITIONED MATRICES 68
		MATLAB EXERCISES 77

2	DETERMINANTS 84
	1	THE DETERMINANT OF A MATRIX 84
	2	PROPERTIES OF DETERMINANTS 92
	3*	CRAMER'S RULE 99
		MATLAB EXERCISES 105

3	VECTOR SPACES 108
	1	DEFINITION AND EXAMPLES 108
	2	SUBSPACES 116
	3	LINEAR INDEPENDENCE 126
	4	BASIS AND DIMENSION 136
	5	CHANGE OF BASIS 143
	6	ROW SPACE AND COLUMN SPACE 153
		MATLAB EXERCISES 161

4	LINEAR TRANSFORMATIONS 165
	1	DEFINITION AND EXAMPLES 165
	2	MATRIX REPRESENTATIONS OF LINEAR TRANSFORMATIONS 175
	3	SIMILARITY 187
		MATLAB EXERCISES 194

5	ORTHOGANALITY 196
	1	THE SCALAR PRODUCT IN Rⁿ 197
	2	ORTHOGONAL SUBSPACE S 208
	3	INNER PRODUCT SPACES 216
	4	LEAST SQUARES PROBLEMS 227
	5	ORTHONORMAL SETS 238
	6	THE GRAM-SCHMIDT ORTHOGONALIZATION PROCESS 257
	7*	ORTHOGONAL POLYNOMIALS 266
		MATLAB EXERCISES 274

6	EIGENVALUES 279
	1	EIGENVALUES AND EIGENVECTORS 280
	2	SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS 292
	3	DIAGONALIZATION 304
	4	HERMITIAN MATRICES 320
	5	QUADRATIC FORMS 330
	6	POSITIVE DEFINITE MATRICES 344
	7*	NONNEGATIVE MATRICES 352
		MATLAB EXERCISES 359

7	NUMERICAL LINEAR ALGEBRA 366
	1	FLOATING-POINT NUMBERS 367
	2	GAUSSIAN ELIMINATION 371
	3	PIVOTING STRATEGIES 379
	4	MATRIX NORMS AND CONDITION NUMBERS 385
	5	ORTHOGONAL TRANSFORMATIONS 398
	6	THE SINGULAR VALUE DECOMPOSITION 409
	7	THE EIGENVALUE PROBLEM 423
	8	LEAST SQUARES PROBLEMS 434
		MATLAB EXERCISES 445

8	ITERATIVE METHODS (supplement)
	IN DVI FORMAT IN POSTSCRIPT FORMAT

9	CANONICAL FORMS (supplement)
	IN DVI FORMAT IN POSTSCRIPT FORMAT

	APPENDIX: MATLAB 455
	BIBLIOGRAPHY 464
	ANSWERS TO SELECTED EXERCISES 466
	INDEX 485

Problems or Suggestions?
Order Information
[ Legal Statement ]