INTRODUCTION TO MATRICES

by Sudhanshu Aggarwal

The present book “INTRODUCTION TO MATRICES” has been written to develop foundation knowledge for the readers to understand basics of matrices. The subject matter has been discussed in such a simple and systematic way that the readers will find no difficulty to understand it. MATRIX 5 RECTANGULAR MATRIX 6 ORDER OF A MATRIX 7 TRACE OF A MATRIX 8-9 EQUALITY OF TWO MATRICES 10 ADDITION OF MATRICES 11 SCALAR MULTIPLICATION (MULTIPLICATION BY A NUMBER) 12 MULTIPLICATION OF MATRICES 13-14 MINOR 15 COFACTORS 16-24 SINGULAR AND NON-SINGULAR MATRICES 25-26 ROW MATRIX 27 COLUMN MATRIX 28 NULL OR ZERO MATRIX 29 DIAGONAL MATRIX 30 IDENTITY OR UNIT MATRIX 31 SCALAR MATRIX 32 UPPER TRIANGULAR MATRIX 33 LOWER TRIANGULAR MATRIX 34 TRANSPOSE OF A MATRIX 35 SYMMETRIC MATRIX 36 SKEW-SYMMETRIC MATRIX 37 CONJUGATE OF A MATRIX 38 TRANSPOSE CONJUGATE OF A MATRIX 39 CONJUGATE TRANSPOSE OF A MATRIX 40 HERMITIAN MATRIX 41-42 SKEW-HERMITIAN MATRIX 43-44 ORTHOGONAL MATRIX 45-47 UNITARY MATRIX 48-51 CHARACTERISTIC EQUATION, CHARACTERISTIC ROOTS AND CHARACTERISTIC VECTORS 52-55 CAYLEY–HAMILTON THEOREM 56-63 OBJECTIVE QUESTIONS 64-67 REFERENCES 68

68 pages, Paperback

Published December 21, 2021