Discrete Mathematics |
Contents
MATHEMATICAL LOGIC 118 | 1 |
SET THEORY 1944 | 19 |
BOOLEAN ALGEBRA AND 82108 | 82 |
3A Fundamental Forms of Boolean Functions | 100 |
MATRICES 109155 | 109 |
LINEAR EQUATIONS 192211 | 192 |
CHARACTERISTIC ROOTS AND 212246 | 212 |
APPENDIX I | 247 |
APPENDIX II | 254 |
APPENDIX III | 263 |
Common terms and phrases
A-xI Applying augmented matrix B₁ binary operation Boolean Algebra Boolean function Boolean polynomial called characteristic equation characteristic polynomial characteristic roots coefficient matrix column complement complex number compression corresponding countable defined Definition denoted diagonal eigen value elementary matrices elementary row elementary transformation elements equivalence classes equivalence relation Example exists F F F F T F factor false Find function f ƒ and g Hence identity inverse invertible matrix ith row Let f linear equations linear transformation matrix of order minor of order multiplication non-singular matrix non-zero normal form ordered pairs plane positive integers PROBLEMS Proof proposition prove pɅq rank real numbers reflexive shear Show square matrix standard matrix subset symbol symmetric THEOREM transitive triangles true truth table truth values universal set variables x-direction x₁ zero