Matrices | by V. N. Kala and Rajeshri Rana | 2009 | ISBN: 9788131807026. Mathematics Books. Mathematical Physics Books. SOLUTION OF THE SYSTEM OF HOMOGENEOUS LINEAR EQUATIONS. COMPUTATION OF INVERSE OF A MATRIX BY ELEMENTARY TRANSFORMATION. THEOREMS ON RANK OF A MATRIX. Cayley Hamilton Theorem
Matrices
by V. N. Kala and Rajeshri Rana
2009 (177 pages)
ISBN:9788131807026
Written in an innovative style, this lucid and comprehensive book is a complete treatise on Real Mathematics portion-matrices, which also serves a vital role in Mathematical Physics and various other scientific fields.
Get this Book by clicking below:
![]() |
![]() |
Matrices
Preface
Foreword
Chapter 1 – Introduction to Matrices
1.1: MATRIX: DEFINITION
1.2: MATRICES: IT’S TYPES
1.3: EQUALITY OF MATRICES
1.4: ADDITION OF MATRICES
1.5: PROPERTIES OF MATRIX ADDITION
1.6: SCALAR MULTIPLICATION OF A MATRIX
1.7: MATRIX MULTIPLICATION
1.8: PROPERTIES OF MATRIX MULTIPLICATION
1.9: POSITIVE INTEGRAL POWER OF A SQUARE MATRIX
1.10: ZERO DIVISORS
Chapter 2 – Some Special Types of Matrices
2.1: TRANSPOSE OF MATRIX
2.2: SYMMETRIC MATRIX
2.3: SKEW-SYMMETRIC MATRIX
2.4: COMPLEX MATRIX
2.5: THEOREMS
2.6: CONJUGATE OR TRANJUGATE OF MATRIX
2.7: HERMITIAN AND SKEW HERMITIAN MATRIX
2.8: THEOREMS
2.9: IDEMPOTENT MATRIX
2.10: NILPOTENT MATRIX
2.11: INVOLUTARY MATRIX
2.12: ORTHOGONAL MATRIX
2.13: UNITARY MATRIX
2.14: SINGULAR MATRIX
2.15: THEOREMS
2.16: ORTHOGONAL MATRICES
2.17: THEOREMS
2.18: ADJOINT AND INVERSE OF A MATRIX
2.19: THEOREMS
2.20: INVERSE OF MATRIX
2.21: THEOREMS
Chapter 3 – Elementary Transformations
3.1: ELEMENTARY TRANSFORMATION
3.2: ELEMENTARY MATRICES
3.3: ELEMENTARY OPERATIONS AS MATRIX PRODUCTS
3.4: THEOREMS ON ELEMENTARY OPERATIONS
3.5: EQUIVALENT MATRICES
3.6: THEOREMS
3.7: COMPUTATION OF INVERSE OF A MATRIX BY ELEMENTARY TRANSFORMATION
3.8: TRIANGULAR MATRIX
3.9: REDUCTION OF MATRICES TO TRIANGULAR FORM
3.10: PARTITIONING OF MATRICES
3.11: IDENTICALLY PARTITIONED MATRICES
3.12: MATRICES PARTITIONED CONFORMABLY FOR MULTIPLICATION
Chapter 4 – Rank of a Matrix
4.1: MINOR OF A MATRIX
4.2: RANK OF A MATRIX
4.3: NULLITY OF A MATRIX
4.4: EQUIVALENT MATRICES POSSESS SAME RANK
4.5: NORMAL FORM OF A MATRIX
4.6: THEOREMS ON RANK OF A MATRIX
4.7: ZERO ROW AND NON-ZERO ROWS
4.8: ECHELON FORM OF A MATRIX
4.9: RANK OF MATRIX IN ECHELON FORM
Chapter 5 – Simultaneous Linear Equations
5.1: SIMULTANEOUS LINEAR EQUATIONS
5.2: WORKING RULE TO FIND THE SOLUTION OF THE SYSTEM OF SIMULTANEOUS LINEAR EQUATIONS
5.3: SOLUTION OF SYSTEM OF NON-HOMOGENEOUS LINEAR EQUATIONS IN N-UNKNOWNS
5.4: THEOREM ON CONSISTENCY OF EQUATIONS
5.5: SOLUTION OF THE SYSTEM OF HOMOGENEOUS LINEAR EQUATIONS
Chapter 6 – Linear Dependence of Vectors
6.1: ORDERED SET OF NUMBERS
6.2: VECTORS: n DIMENSIONAL VECTOR
6.3: EQUAL VECTORS
6.4: ROW VECTOR AND COLUMN VECTOR
6.5: NULL VECTOR
6.6: VECTOR ADDITION AND SCALAR MULTIPLICATION
6.7: NEGATIVE OF VECTOR
6.8: VECTOR SPACE OVER A FIELD
6.9: LINEAR DEPENDENCE AND INDEPENDENCE OF VECTORS
6.10: LINEAR COMBINATION OF VECTORS
6.11: BASIS AND DIMENSIONS OF A VECTOR SPACE
6.12: THEOREMS ABOUT LINEAR DEPENDENCE OF VECTORS
6.13: LINEAR TRANSFORMATION
Chapter 7 – Characteristic Roots and Characteristic Vectors
7.1: MATRIX POLYNOMIAL HAVING DEGREE n
7.2: CHARACTERISTIC VALUE PROBLEM
7.3: CHARACTERISTIC MATRIX
7.4: CHARACTERISTIC POLYNOMIAL
7.5: CHARACTERISTIC EQUATION
7.6: CHARACTERISTIC ROOTS AND CHARACTERISTIC VECTORS
7.7: PROPERTIES OF EIGEN VALUES/CHARACTERISTIC ROOTS
7.8: WORKING RULE TO FIND CHARACTERISTIC ROOTS AND CHARACTERISTIC VECTORS OF A MATRIX
7.9: FUNDAMENTAL THEOREMS
Chapter 8 – Cayley Hamilton Theorem
8.1: CHARACTERISTIC EQUATION OF A MATRIX
8.2: CAYLEY HAMILTON THEOREM
8.3: INVERSE COMPUTATION BY CAYLEY HAMILTON THEOREM
Chapter 9 – Diagonalisation of Matrices
9.1: MATRICES SIMILARITY
9.2: THEOREMS ON MATRICES SIMILARITY
9.3: DIAGONALIZABLE MATRIX
9.4: WORKING RULE FOR DIAGONALIZATION OF MATRIX OF ORDER n × n
9.5: THEOREMS ON DIAGONALIZABLE MATRICES
Chapter 10 – Matrices & Determinants
10.1: MATRICES
10.2: DETERMINANT OF A MATRIX
10.3: DIFFERENCE BETWEEN MATRICES AND DETERMINANT
10.4: DETERMINANT: IT’S GENERAL DEFINITION:
10.5: GENERAL PROPERTIES OF THE DETERMINANTS
10.6: APPLICATION OF DETERMINANTS
For 1000+ more Engineering Books & Mathematics Books, click below:



Related posts:
- Essential Math Skills for Engineers | by Clayton R. Paul | 2009 | ISBN: 9780470405024. Mathematics Books. Math Skills Training. Partial Differential Equations. Fourier Series and Fourier Transform. Mathematics of Vectors. Linear, Constant-Coefficient, Difference Equations
- Numerical Methods in Engineering with MATLAB , Second Edition | by Jaan Kiusalaas | 2010 | ISBN: 9780521191333. Systems of Linear Algebraic Equations. Interpolation and Curve Fitting. Numerical Differentiation. Numerical Integration. Two-Point Boundary Value Problems. Symmetric Matrix Eigenvalue Problems
- Nonequilibrium Statistical Mechanics | by Robert Zwanzig | ISBN: 9780195140187. Kinetic Models. Quantum Dynamics. Electron Transfer Kinetics. Applications of Linear Response Theory. The Paradoxes of Irreversibility. Brownian Motion and Langevin Equations. Fokker-Planck Equations.
- Applied Solid Mechanics | by Peter Howell, Gregory Kozyreff and John Ockendon | 2009 | ISBN: 9780521854894. Mechanical Engineering Books. Linear Elastostatics. Linear Elastodynamics. Nonlinear Elasticity. Viscoelasticity. Thermoelasticity.
- Biomechanics: Concepts and Computation | by Cees Oomens, Marcel Brekelmans and Frank Baaijens | 2009 | ISBN: 9780521875585. Biomedical Engineering Books. Mechanical Behaviour of Fibres. Biological Materials and Continuum Mechanics
- A Foundation in Digital Communication | by Amos Lapidoth | 2009 | ISBN: 9780521193955. Operational Power Spectral Density. Quadrature Amplitude Modulation. Multivariate Gaussian Distribution. Continuous-Time Stochastic Processes. Complete Orthonormal Systems and the Sampling Theorem.
- Surviving Transformation: Lessons from GM’s Surprising Turnaround | by Vincent P. Barabba | ISBN: 9780195171419. Business Transformation Books. How to Find the Right Mix of Business Designs. How to Create the Right Business Design in the Face of Uncertainty. How to Solve a Complex Problem the Right Way.
- Numerical Methods in Engineering with Python, Second Edition | by Jaan Kiusalaas | 2010 | ISBN: 9780521191326. Polynomial Interpolation. Numerical Differentiation. Two-Point Boundary Value Problems. Symmetric Matrix Eigenvalue Problems.
- Frequently Asked Questions in Quantitative Finance, Second Edition | by Paul P. Wilmott | PDF BOOK STORE ONLINE | 2009 | ISBN: 9780470748756. Dispersion Trading. Capital Asset Pricing Model. Girsanov’s Theorem. LIBOR Market Model
- Performance Management: Integrating Strategy Execution, Methodologies, Risk, and Analytics | by Gary Cokins | 2009 | ISBN: 9780470449981. Performance Management Books. Performance Improvement Systems. Organizational Transformation.
- Drupal 6 Search Engine Optimization: Rank High in Search Engines with Professional SEO Tips, Modules, and Best Practices for Drupal Web Sites | by Ben Finklea | 2009 | ISBN: 9781847198228. How to achieve top ranking in the search engines. Drupal SEO Checklist
- Applied and Computational Fluid Mechanics | by Scott Post | 2011 | ISBN: 9781934015476. Fluid Measurement Techniques. Pumps, Compressors, Fans, and Propellers. Wind Turbines. Jet Engines. Liquid Sprays. Reynolds Transport Theorem
- Statistical and Adaptive Signal Processing: Spectral Estimation, Signal Modeling, Adaptive Filtering and Array Processing | by Dimitris G. Manolakis, Vinay K. Ingle and Stephen M. Kogon | ISBN: 9781580536103. Discrete-Time Signal Processing. Optimum Linear Filters
- Coaching for Performance: GROWing Human Potential and Purpose: The Principles and Practice of Coaching and Leadership, Fourth Edition | by John Whitmore | 2009 | ISBN: 9781857885354. Transformation through Transpersonal Coaching. Motivation and Self-Belief Development.
- Titanium and Titanium Alloys: Fundamentals and Applications | by Christoph Leyens and Manfred Peters (eds) | BUY PDF EBOOKS ONLINE | ISBN: 9783527305346. Orthorhombic Titanium Aluminides. Oxidation and Protection of Titanium Alloys. Continuous Fiber Reinforced Titanium Matrix Composites
- Radical Trust: How Today’s Great Leaders Convert People to Partners | by Joe Healey | ISBN: 9780470128329. Business Trust Books. How High Trust Spurs Innovation and Profits. Four Competencies that Build Radical Trust. How To Use Trust to Reduce Costly Micromanagement. How to Create Cultural Transformation
- Solid-State Microwave High-Power Amplifiers | by Franco Sechi and Marina Bujatti | 2009 | ISBN: 9781596933194. Solid-State Physics. Microwave Integrated Circuits (MICs). General Power-Amplifier Design. High-Efficiency Amplifiers. Linear Power Amplifiers
- Bayesian Methods in Finance | by Svetlozar T. Rachev, John S. J. Hsu, Biliana S. Bagasheva and Frank J. Fabozzi | ISBN: 9780471920830. BAYESIAN PREDICTIVE INFERENCE. Multilactor Equity Risk Models. Bayesian Numerical Computation. Black-Litterman Portfolio Selection Framework. Asset Pricing Models.
- Data Warehousing Design and Advanced Engineering Applications: Methods for Complex Construction | by Ladjel Bellatreche (ed) | 2009 | ISBN: 9781605667560. Data Extraction, Transformation and Integration. Modeling Multidimensional Geographic Databases. Designing Data Marts. Decision Support System Design
- Turbulent Shear Layers in Supersonic Flow, Second Edition | by Alexander J. Smits and Jean-Paul Dussauge | ISBN: 9780387261409. Boundary Layer Turbulence Behavior. Shock Wave-Boundary Layer Interactions. Shock-Turbulence Interaction. Equations for Turbulent Flow. Morkovin’s Hypothesis.
- Ocean Engineering Mechanics | by Michael E. McCormick | Cheap Online Bookstore | 2010 | ISBN: 9780521859523. Linear Surface Waves. Nonlinear Surface Waves. Wave-Induced Motions of Floating Bodies. Wave-Induced Forces and Moments on Fixed Bodies.
- Estimating Market Power and Strategies | by Jeffrey M. Perloff, Larry S. Karp and Amos Golan | ISBN: 9780521804400. MEASURES OF MARKET PERFORMANCE. A MODERN STRUCTURE–CONDUCT–PERFORMANCE APPROACH. Linear-Quadratic Model. New Econometric Methods
- Managerial Dilemmas: Exploiting Paradox for Strategic Leadership | by John Storey and Graeme Salaman | 2009 | ISBN: 9781405160278. Management Books. Strategy Books.
- Just Listen: Discover the Secret to Getting Through to Absolutely Anyone | by Mark Goulston | 2010 | ISBN: 9780814414033. Core Rules for Getting Through to Anyone. From Transaction to Transformation
- Coaching for Performance GROWing Human Potential and PurposeCoaching for Performance: GROWing Human Potential and Purpose: The Principles and Practice of Coaching and Leadership, Fourth Edition | by John Whitmore | 2009 | ISBN: 9781857885354. Transformation through Transpersonal Coaching. Leadership for High Performance.
- Reconfigurable Computing: The Theory and Practice of FPGA-Based Computation | by Scott Hauck and André DeHon | 2008 | ISBN: 9780123705228. Reconfigurable Computing Systems. EVOLVABLE HARDWARE DIGITAL PLATFORMS. Programming FPGA Applications in VHDL
- Highly Flexible Structures: Modeling, Computation, and Experimentation | by P. Frank Pai | ISBN: 9781563479175. Structural Mechanics. Highly Flexible Trusses. Highly Flexible Cables. Plates and Shells. Inflatable/Deployable Membrane Structures. Deployable Frame Structures.
- Digital Signal Processing Using MATLAB | by André Quinquis | ISBN: 9781848210110. Linear and Invariant Discrete-Time Systems. Infinite Impulse Response Filters. Parametrical Time-Frequency Methods. Time-Frequency Analysis.
- Microelectronics Books. Semiconductor Engineering Books. Power Electronics Semiconductor Devices | by Robert Perret | 2009 | ISBN: 9781848210646. Power MOSFET Technologies. Insulated Gate Bipolar Transistors. Technology for Silicon Carbide Power Components
- Two-Dimensional Information Theory and Coding: With Applications to Graphics and High-Density Storage Media | by Jørn Justesen and Søren Forchhammer | 2010 | ISBN: 9780521888608. Fast Arithmetic Coding. Reed–Solomon Codes. Channels and Linear Codes. Constrained Two-Dimensional Fields for Storage
- Hall-Effect Sensors: Theory and Application, Second Edition | by Edward Ramsden | ISBN: 9780750679343. Integrated Sensors Design. Designing Proximity Sensors. Hall-Effect Physics. Silicon Hall-Effect Transducer. Electronic Bench Equipment. Current-Sensing Techniques. Field-Programmable Linear Sensors
- Safety Answer Book | by J.J. Keller & Associates, Inc. | 2009 | ISBN: 9781877798467. Health and Safety Books. Safety Engineering Books. Occupational Safety and Health Administration (OSHA). Electrical Design Safety Standards. Environmental Management Systems
- Currency Investing Books. Currency Trading and Intermarket Analysis: How to Profit from the Shifting Currents in Global Markets | by Ashraf Laïdi | 2009 | ISBN: 9780470226230. Foreign Exchange Books. Learn Forex Trading. Forex Trading Training.
- Technology Scorecards: Aligning IT Investments with Business Performance | by Sam Bansal | 2009 | ISBN: 9780470464564. IT Management Books. IT Strategy Books. Strategic Enterprise Management.
- Capitalizing on Kindness: Why 21st Century Professionals Need to Be Nice | by Kristin Tillquist | 2009 | ISBN: 9781601630384. Business Skills Books. Business Success Books. The Power Of Kindness.
- The 15 Most Common Obstacles to World-Class Reliability: A Roadmap for Managers | by Don Nyman | 2009 | ISBN: 9780831133818. Reliability Engineering Books. Quality Engineering EBooks. Maintenance Management Books.
- Spiritual Inspiration, Nourishment and Transformation from Christianbookstore.
- Wiley CPA Examination Review: Outlines and Study Guides 2009-2010, 36th Edition, Volume 1 | by Patrick R. Delaney and O. Ray Whittington | 2009 | ISBN: 9780470453353. Accounting Books. Financial Accounting and Reporting. Accounting Professional Responsibilities.
- Quick Finite Elements for Electromagnetic Waves, Second Edition | by Giuseppe Pelosi, Roberto Coccioli and Stefano Selleri | 2009 | ISBN: 9781596933453. Microwave Engineering Books. Shielded Microstrip Lines. Microwave Devices and Circuits. Waveguide Devices
- Wiley CPA Examination Review,: Problems and Solutions 2009-2010, 36th Edition, Volume 2 | by Patrick R. Delaney and O. Ray Whittington | 2009 | ISBN: 9780470453377. Financial Accounting Books. Auditing and Attestation Problems and Solutions
Comments
One Comment on Matrices | by V. N. Kala and Rajeshri Rana | 2009 | ISBN: 9788131807026. Mathematics Books. Mathematical Physics Books. SOLUTION OF THE SYSTEM OF HOMOGENEOUS LINEAR EQUATIONS. COMPUTATION OF INVERSE OF A MATRIX BY ELEMENTARY TRANSFORMATION. THEOREMS ON RANK OF A MATRIX. Cayley Hamilton Theorem
-
Chaos in Automatic Control (Automation and Control Engineering) | Control Engineering Addict on
Sun, 14th Mar 2010 4:29 pm
[...] Matrices | by VN Kala and Rajeshri Rana | 2009 | ISBN … [...]
Tell me what you're thinking...
and oh, if you want a pic to show with your comment, go get a gravatar!
You must be logged in to post a comment.






